12889767686400 has 2160 divisors, whose sum is σ = 55055509555200. Its totient is φ = 2942687232000.

The previous prime is 12889767686339. The next prime is 12889767686443. The reversal of 12889767686400 is 468676798821.

12889767686400 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 9 + 76 + 76 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×12889767686400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29361657381 + ... + 29361657819.

Almost surely, 2^{12889767686400} is an apocalyptic number.

12889767686400 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 12889767686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527754777600).

12889767686400 is an abundant number, since it is smaller than the sum of its proper divisors (42165741868800).

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

12889767686400 is a wasteful number, since it uses less digits than its factorization.

12889767686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 12889767686400 in words is "twelve trillion, eight hundred eighty-nine billion, seven hundred sixty-seven million, six hundred eighty-six thousand, four hundred".