253320250202400 has 144 divisors (see below), whose sum is σ = 834994850659200. Its totient is φ = 66696977218560.

The previous prime is 253320250202353. The next prime is 253320250202417. The reversal of 253320250202400 is 4202052023352.

It is a super-2 number, since 2×253320250202400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 667849035 + ... + 668228234.

It is an arithmetic number, because the mean of its divisors is an integer number (5798575351800).

Almost surely, 2^{253320250202400} is an apocalyptic number.

253320250202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253320250202400 is an abundant number, since it is smaller than the sum of its proper divisors (581674600456800).

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

253320250202400 is a wasteful number, since it uses less digits than its factorization.

253320250202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336077371 (or 1336077358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 253320250202400 in words is "two hundred fifty-three trillion, three hundred twenty billion, two hundred fifty million, two hundred two thousand, four hundred".