11638431876960 has 240 divisors, whose sum is σ = 46941675602976. Its totient is φ = 2660212979712.

The previous prime is 11638431876949. The next prime is 11638431876977. The reversal of 11638431876960 is 6967813483611.

11638431876960 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 8 + 431 + 87 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64054077 + ... + 64235516.

Almost surely, 2^{11638431876960} is an apocalyptic number.

11638431876960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638431876960 is an abundant number, since it is smaller than the sum of its proper divisors (35303243726016).

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

11638431876960 is a wasteful number, since it uses less digits than its factorization.

11638431876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128289627 (or 128289610 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11638431876960 in words is "eleven trillion, six hundred thirty-eight billion, four hundred thirty-one million, eight hundred seventy-six thousand, nine hundred sixty".