253872590400 has 2016 divisors, whose sum is σ = 1132513514496. Its totient is φ = 53084160000.

The previous prime is 253872590299. The next prime is 253872590401. The reversal of 253872590400 is 4095278352.

253872590400 is a `hidden beast` number, since 2 + 53 + 8 + 7 + 2 + 590 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (253872590401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2617243152 + ... + 2617243248.

It is an arithmetic number, because the mean of its divisors is an integer number (561762656).

Almost surely, 2^253872590400 is an apocalyptic number.

253872590400 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 253872590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566256757248).

253872590400 is an abundant number, since it is smaller than the sum of its proper divisors (878640924096).

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

253872590400 is a wasteful number, since it uses less digits than its factorization.

253872590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 253872590400 in words is "two hundred fifty-three billion, eight hundred seventy-two million, five hundred ninety thousand, four hundred".