253024253030400 has 312 divisors, whose sum is σ = 863550722740224. Its totient is φ = 65296578969600.

The previous prime is 253024253030399. The next prime is 253024253030429. The reversal of 253024253030400 is 4030352420352.

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, 3761424 + ... + 22807823.

Almost surely, 2^{253024253030400} is an apocalyptic number.

253024253030400 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 253024253030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431775361370112).

253024253030400 is an abundant number, since it is smaller than the sum of its proper divisors (610526469709824).

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

253024253030400 is a wasteful number, since it uses less digits than its factorization.

253024253030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26569315 (or 26569288 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 253024253030400 in words is "two hundred fifty-three trillion, twenty-four billion, two hundred fifty-three million, thirty thousand, four hundred".