12565871884800 has 2400 divisors, whose sum is σ = 53505645388272. Its totient is φ = 2885230264320.

The previous prime is 12565871884721. The next prime is 12565871884801. The reversal of 12565871884800 is 848817856521.

12565871884800 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 5 + 8 + 71 + 88 + 480 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 612976253184 + 11952895631616 = 782928^2 + 3457296^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×12565871884800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12565871884801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39639974242 + ... + 39639974558.

Almost surely, 2^{12565871884800} is an apocalyptic number.

12565871884800 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 12565871884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752822694136).

12565871884800 is an abundant number, since it is smaller than the sum of its proper divisors (40939773503472).

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

12565871884800 is a wasteful number, since it uses less digits than its factorization.

12565871884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 12565871884800 in words is "twelve trillion, five hundred sixty-five billion, eight hundred seventy-one million, eight hundred eighty-four thousand, eight hundred".