12565099657152 has 672 divisors, whose sum is σ = 44706507325440. Its totient is φ = 3446773585920.

The previous prime is 12565099657133. The next prime is 12565099657171. The reversal of 12565099657152 is 25175699056521.

12565099657152 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 5 + 0 + 9 + 9 + 6 + 571 + 52 = 666.

12565099657152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12565099657133) and next prime (12565099657171).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12565099657152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12565099657152.

It is a congruent number.

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, 333334818 + ... + 333372510.

Almost surely, 2^{12565099657152} is an apocalyptic number.

12565099657152 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 12565099657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353253662720).

12565099657152 is an abundant number, since it is smaller than the sum of its proper divisors (32141407668288).

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

12565099657152 is a wasteful number, since it uses less digits than its factorization.

12565099657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37886 (or 37863 counting only the distinct ones).

The product of its (nonzero) digits is 51030000, while the sum is 63.

The spelling of 12565099657152 in words is "twelve trillion, five hundred sixty-five billion, ninety-nine million, six hundred fifty-seven thousand, one hundred fifty-two".