11185274880 has 480 divisors, whose sum is σ = 42937876800. Its totient is φ = 2746220544.

The previous prime is 11185274861. The next prime is 11185274911. The reversal of 11185274880 is 8847258111.

11185274880 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 527 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11185274880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28753726 + ... + 28754114.

It is an arithmetic number, because the mean of its divisors is an integer number (89453910).

Almost surely, 2^11185274880 is an apocalyptic number.

11185274880 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 11185274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468938400).

11185274880 is an abundant number, since it is smaller than the sum of its proper divisors (31752601920).

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

11185274880 is an equidigital number, since it uses as much as digits as its factorization.

11185274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 11185274880 in words is "eleven billion, one hundred eighty-five million, two hundred seventy-four thousand, eight hundred eighty".