15977408256 has 216 divisors, whose sum is σ = 48786192000. Its totient is φ = 5014849536.

The previous prime is 15977408207. The next prime is 15977408273. The reversal of 15977408256 is 65280477951.

15977408256 is a `hidden beast` number, since 1 + 597 + 7 + 40 + 8 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7834885 + ... + 7836923.

It is an arithmetic number, because the mean of its divisors is an integer number (225862000).

Almost surely, 2^15977408256 is an apocalyptic number.

15977408256 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 15977408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393096000).

15977408256 is an abundant number, since it is smaller than the sum of its proper divisors (32808783744).

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

15977408256 is a wasteful number, since it uses less digits than its factorization.

15977408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 15977408256 in words is "fifteen billion, nine hundred seventy-seven million, four hundred eight thousand, two hundred fifty-six".