12516811295796 has 240 divisors, whose sum is σ = 35648698624000. Its totient is φ = 3815056687680.

The previous prime is 12516811295789. The next prime is 12516811295797. The reversal of 12516811295796 is 69759211861521.

It is a happy number.

12516811295796 is a `hidden beast` number, since 1 + 2 + 51 + 6 + 8 + 1 + 1 + 2 + 9 + 579 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516811295797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72240315 + ... + 72413373.

Almost surely, 2^{12516811295796} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12516811295796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824349312000).

12516811295796 is an abundant number, since it is smaller than the sum of its proper divisors (23131887328204).

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

12516811295796 is a wasteful number, since it uses less digits than its factorization.

12516811295796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173504 (or 173493 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 63.

The spelling of 12516811295796 in words is "twelve trillion, five hundred sixteen billion, eight hundred eleven million, two hundred ninety-five thousand, seven hundred ninety-six".