12800407656960 has 2240 divisors, whose sum is σ = 57755654187264. Its totient is φ = 2641998643200.

The previous prime is 12800407656943. The next prime is 12800407656989. The reversal of 12800407656960 is 6965670400821.

12800407656960 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 0 + 4 + 0 + 76 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12800407656897 and 12800407656906.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 40379834722 + ... + 40379835038.

Almost surely, 2^{12800407656960} is an apocalyptic number.

12800407656960 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 12800407656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28877827093632).

12800407656960 is an abundant number, since it is smaller than the sum of its proper divisors (44955246530304).

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

12800407656960 is an equidigital number, since it uses as much as digits as its factorization.

12800407656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12800407656960 in words is "twelve trillion, eight hundred billion, four hundred seven million, six hundred fifty-six thousand, nine hundred sixty".