253112534400 has 768 divisors, whose sum is σ = 955642406400. Its totient is φ = 58394828800.

The previous prime is 253112534399. The next prime is 253112534401. The reversal of 253112534400 is 4435211352.

It is an interprime number because it is at equal distance from previous prime (253112534399) and next prime (253112534401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253112534401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284835102 + ... + 1284835298.

It is an arithmetic number, because the mean of its divisors is an integer number (1244326050).

Almost surely, 2^253112534400 is an apocalyptic number.

253112534400 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 253112534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477821203200).

253112534400 is an abundant number, since it is smaller than the sum of its proper divisors (702529872000).

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

253112534400 is a wasteful number, since it uses less digits than its factorization.

253112534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 253112534400 its reverse (4435211352), we get a palindrome (257547745752).

The spelling of 253112534400 in words is "two hundred fifty-three billion, one hundred twelve million, five hundred thirty-four thousand, four hundred".