256838400278208 has 168 divisors, whose sum is σ = 841993343972352. Its totient is φ = 73326252897792.

The previous prime is 256838400278149. The next prime is 256838400278231. The reversal of 256838400278208 is 802872004838652.

256838400278208 is a `hidden beast` number, since 2 + 5 + 6 + 83 + 84 + 0 + 0 + 278 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 19098960 + ... + 29638607.

Almost surely, 2^{256838400278208} is an apocalyptic number.

256838400278208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256838400278208 is an abundant number, since it is smaller than the sum of its proper divisors (585154943694144).

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

256838400278208 is a wasteful number, since it uses less digits than its factorization.

256838400278208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48738899 (or 48738886 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 256838400278208 in words is "two hundred fifty-six trillion, eight hundred thirty-eight billion, four hundred million, two hundred seventy-eight thousand, two hundred eight".