12560736686400 has 504 divisors, whose sum is σ = 52667381405184. Its totient is φ = 2778411110400.

The previous prime is 12560736686363. The next prime is 12560736686413. The reversal of 12560736686400 is 468663706521.

12560736686400 is a `hidden beast` number, since 1 + 2 + 560 + 7 + 36 + 6 + 8 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×12560736686400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1114954 + ... + 5134646.

Almost surely, 2^{12560736686400} is an apocalyptic number.

12560736686400 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 12560736686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26333690702592).

12560736686400 is an abundant number, since it is smaller than the sum of its proper divisors (40106644718784).

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

12560736686400 is a wasteful number, since it uses less digits than its factorization.

12560736686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019759 (or 4019741 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12560736686400 in words is "twelve trillion, five hundred sixty billion, seven hundred thirty-six million, six hundred eighty-six thousand, four hundred".