11194640640 has 648 divisors, whose sum is σ = 42482888448. Its totient is φ = 2821754880.

The previous prime is 11194640603. The next prime is 11194640693. The reversal of 11194640640 is 4604649111.

11194640640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 4 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 = 11194640595 and 11194640604.

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 71 ways as a sum of consecutive naturals, for example, 260340459 + ... + 260340501.

Almost surely, 2^11194640640 is an apocalyptic number.

11194640640 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 11194640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241444224).

11194640640 is an abundant number, since it is smaller than the sum of its proper divisors (31288247808).

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

11194640640 is an frugal number, since it uses more digits than its factorization.

11194640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11194640640 in words is "eleven billion, one hundred ninety-four million, six hundred forty thousand, six hundred forty".