11557969920 has 448 divisors, whose sum is σ = 46994307840. Its totient is φ = 2640052224.

The previous prime is 11557969919. The next prime is 11557969961. The reversal of 11557969920 is 2996975511.

11557969920 is a `hidden beast` number, since 1 + 1 + 5 + 579 + 69 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740694 + ... + 7742186.

Almost surely, 2^11557969920 is an apocalyptic number.

11557969920 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 11557969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497153920).

11557969920 is an abundant number, since it is smaller than the sum of its proper divisors (35436337920).

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

11557969920 is an equidigital number, since it uses as much as digits as its factorization.

11557969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 11557969920 in words is "eleven billion, five hundred fifty-seven million, nine hundred sixty-nine thousand, nine hundred twenty".