12992508663552 has 576 divisors, whose sum is σ = 43775651404800. Its totient is φ = 3762558074880.

The previous prime is 12992508663527. The next prime is 12992508663581. The reversal of 12992508663552 is 25536680529921.

12992508663552 is a `hidden beast` number, since 1 + 2 + 9 + 92 + 508 + 6 + 6 + 35 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12992508663552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2463966388 + ... + 2463971660.

It is an arithmetic number, because the mean of its divisors is an integer number (75999394800).

Almost surely, 2^{12992508663552} is an apocalyptic number.

12992508663552 is a gapful number since it is divisible by the number (12) 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 12992508663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21887825702400).

12992508663552 is an abundant number, since it is smaller than the sum of its proper divisors (30783142741248).

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

12992508663552 is a wasteful number, since it uses less digits than its factorization.

12992508663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 12992508663552 in words is "twelve trillion, nine hundred ninety-two billion, five hundred eight million, six hundred sixty-three thousand, five hundred fifty-two".