11680864042752 has 144 divisors (see below), whose sum is σ = 35194113874080. Its totient is φ = 3820156674048.

The previous prime is 11680864042709. The next prime is 11680864042781. The reversal of 11680864042752 is 25724046808611.

11680864042752 is a `hidden beast` number, since 1 + 16 + 80 + 86 + 4 + 0 + 427 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15576493 + ... + 16309164.

It is an arithmetic number, because the mean of its divisors is an integer number (244403568570).

Almost surely, 2^{11680864042752} is an apocalyptic number.

11680864042752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11680864042752 is an abundant number, since it is smaller than the sum of its proper divisors (23513249831328).

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

11680864042752 is an equidigital number, since it uses as much as digits as its factorization.

11680864042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31885735 (or 31885715 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 11680864042752 in words is "eleven trillion, six hundred eighty billion, eight hundred sixty-four million, forty-two thousand, seven hundred fifty-two".