11557687680 has 1152 divisors, whose sum is σ = 52822748160. Its totient is φ = 2274877440.

The previous prime is 11557687601. The next prime is 11557687699. The reversal of 11557687680 is 8678675511.

11557687680 is a `hidden beast` number, since 1 + 1 + 5 + 576 + 8 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112210509 + ... + 112210611.

It is an arithmetic number, because the mean of its divisors is an integer number (45853080).

Almost surely, 2^11557687680 is an apocalyptic number.

11557687680 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 11557687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411374080).

11557687680 is an abundant number, since it is smaller than the sum of its proper divisors (41265060480).

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

11557687680 is a wasteful number, since it uses less digits than its factorization.

11557687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11557687680 in words is "eleven billion, five hundred fifty-seven million, six hundred eighty-seven thousand, six hundred eighty".