15609163064256 has 224 divisors, whose sum is σ = 47439309012480. Its totient is φ = 5029658468352.

The previous prime is 15609163064207. The next prime is 15609163064303. The reversal of 15609163064256 is 65246036190651.

15609163064256 is a `hidden beast` number, since 1 + 5 + 609 + 1 + 6 + 3 + 0 + 6 + 4 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6124645 + ... + 8290331.

It is an arithmetic number, because the mean of its divisors is an integer number (211782629520).

Almost surely, 2^{15609163064256} is an apocalyptic number.

15609163064256 is a gapful number since it is divisible by the number (16) 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 15609163064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23719654506240).

15609163064256 is an abundant number, since it is smaller than the sum of its proper divisors (31830145948224).

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

15609163064256 is a wasteful number, since it uses less digits than its factorization.

15609163064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165848 (or 2165832 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 15609163064256 in words is "fifteen trillion, six hundred nine billion, one hundred sixty-three million, sixty-four thousand, two hundred fifty-six".