256416643566600 has 144 divisors (see below), whose sum is σ = 873723819606960. Its totient is φ = 62161610544000.

The previous prime is 256416643566581. The next prime is 256416643566749. The reversal of 256416643566600 is 6665346614652.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1765882246 + ... + 1766027445.

Almost surely, 2^{256416643566600} is an apocalyptic number.

256416643566600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256416643566600 is an abundant number, since it is smaller than the sum of its proper divisors (617307176040360).

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

256416643566600 is a wasteful number, since it uses less digits than its factorization.

256416643566600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531909732 (or 3531909712 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 256416643566600 in words is "two hundred fifty-six trillion, four hundred sixteen billion, six hundred forty-three million, five hundred sixty-six thousand, six hundred".