253531707340800 has 288 divisors, whose sum is σ = 957874485859200. Its totient is φ = 57950104289280.

The previous prime is 253531707340757. The next prime is 253531707340801. The reversal of 253531707340800 is 8043707135352.

253531707340800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253531707340800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253531707340801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116824590 + ... + 118974989.

It is an arithmetic number, because the mean of its divisors is an integer number (3325953075900).

Almost surely, 2^{253531707340800} is an apocalyptic number.

253531707340800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253531707340800 is an abundant number, since it is smaller than the sum of its proper divisors (704342778518400).

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

253531707340800 is a wasteful number, since it uses less digits than its factorization.

253531707340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235799621 (or 235799596 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 253531707340800 in words is "two hundred fifty-three trillion, five hundred thirty-one billion, seven hundred seven million, three hundred forty thousand, eight hundred".