256366555200 has 1176 divisors, whose sum is σ = 1145117457792. Its totient is φ = 55121264640.

The previous prime is 256366555199. The next prime is 256366555243. The reversal of 256366555200 is 2555663652.

256366555200 is a `hidden beast` number, since 2 + 5 + 6 + 36 + 65 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×256366555200² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 138800677 + ... + 138802523.

Almost surely, 2^256366555200 is an apocalyptic number.

256366555200 is a gapful number since it is divisible by the number (20) 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 256366555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572558728896).

256366555200 is an abundant number, since it is smaller than the sum of its proper divisors (888750902592).

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

256366555200 is a wasteful number, since it uses less digits than its factorization.

256366555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 256366555200 in words is "two hundred fifty-six billion, three hundred sixty-six million, five hundred fifty-five thousand, two hundred".