256506374020200 has 192 divisors, whose sum is σ = 796124629048320. Its totient is φ = 68319575520000.

The previous prime is 256506374020199. The next prime is 256506374020219. The reversal of 256506374020200 is 2020473605652.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8234274625 + ... + 8234305775.

It is an arithmetic number, because the mean of its divisors is an integer number (4146482442960).

Almost surely, 2^{256506374020200} is an apocalyptic number.

256506374020200 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 256506374020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398062314524160).

256506374020200 is an abundant number, since it is smaller than the sum of its proper divisors (539618255028120).

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

256506374020200 is a wasteful number, since it uses less digits than its factorization.

256506374020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47208 (or 47199 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 256506374020200 in words is "two hundred fifty-six trillion, five hundred six billion, three hundred seventy-four million, twenty thousand, two hundred".