12691515801600 has 768 divisors, whose sum is σ = 46953992520000. Its totient is φ = 3360817152000.

The previous prime is 12691515801589. The next prime is 12691515801607. The reversal of 12691515801600 is 610851519621.

12691515801600 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 1 + 5 + 1 + 580 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12691515801600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12691515801607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3295639675 + ... + 3295643525.

Almost surely, 2^{12691515801600} is an apocalyptic number.

12691515801600 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 12691515801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476996260000).

12691515801600 is an abundant number, since it is smaller than the sum of its proper divisors (34262476718400).

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

12691515801600 is an equidigital number, since it uses as much as digits as its factorization.

12691515801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 12691515801600 in words is "twelve trillion, six hundred ninety-one billion, five hundred fifteen million, eight hundred one thousand, six hundred".