256516472365200 has 600 divisors, whose sum is σ = 958670015983680. Its totient is φ = 65608195968000.

The previous prime is 256516472365189. The next prime is 256516472365207. The reversal of 256516472365200 is 2563274615652.

256516472365200 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 6 + 4 + 72 + 365 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256516472365207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 140975607 + ... + 142783593.

Almost surely, 2^{256516472365200} is an apocalyptic number.

256516472365200 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 256516472365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479335007991840).

256516472365200 is an abundant number, since it is smaller than the sum of its proper divisors (702153543618480).

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

256516472365200 is a wasteful number, since it uses less digits than its factorization.

256516472365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808197 (or 1808177 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 256516472365200 in words is "two hundred fifty-six trillion, five hundred sixteen billion, four hundred seventy-two million, three hundred sixty-five thousand, two hundred".