12797816637600 has 576 divisors, whose sum is σ = 47266381008000. Its totient is φ = 3340906905600.

The previous prime is 12797816637589. The next prime is 12797816637629. The reversal of 12797816637600 is 673661879721.

12797816637600 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 7 + 8 + 16 + 6 + 3 + 7 + 600 = 666.

It is a super-2 number, since 2×12797816637600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307109566 + ... + 307151234.

It is an arithmetic number, because the mean of its divisors is an integer number (82059689250).

Almost surely, 2^{12797816637600} is an apocalyptic number.

12797816637600 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 12797816637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633190504000).

12797816637600 is an abundant number, since it is smaller than the sum of its proper divisors (34468564370400).

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

12797816637600 is a wasteful number, since it uses less digits than its factorization.

12797816637600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41998 (or 41979 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 12797816637600 in words is "twelve trillion, seven hundred ninety-seven billion, eight hundred sixteen million, six hundred thirty-seven thousand, six hundred".