11184272640 has 180 divisors, whose sum is σ = 40019743764. Its totient is φ = 2982445056.

The previous prime is 11184272639. The next prime is 11184272641. The reversal of 11184272640 is 4627248111.

It is a happy number.

11184272640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 4 + 2 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11184272639) and next prime (11184272641).

It can be written as a sum of positive squares in 2 ways, for example, as 8466944256 + 2717328384 = 92016^2 + 52128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11184272595 and 11184272604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11184272641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49744 + ... + 157616.

Almost surely, 2^11184272640 is an apocalyptic number.

11184272640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11184272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20009871882).

11184272640 is an abundant number, since it is smaller than the sum of its proper divisors (28835471124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11184272640 is an equidigital number, since it uses as much as digits as its factorization.

11184272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107906 (or 107883 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11184272640 in words is "eleven billion, one hundred eighty-four million, two hundred seventy-two thousand, six hundred forty".