253112639360 has 256 divisors, whose sum is σ = 704495232000. Its totient is φ = 85170438144.

The previous prime is 253112639347. The next prime is 253112639387. The reversal of 253112639360 is 63936211352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55419797 + ... + 55424363.

It is an arithmetic number, because the mean of its divisors is an integer number (2751934500).

Almost surely, 2^253112639360 is an apocalyptic number.

253112639360 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 253112639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352247616000).

253112639360 is an abundant number, since it is smaller than the sum of its proper divisors (451382592640).

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

253112639360 is a wasteful number, since it uses less digits than its factorization.

253112639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 253112639360 in words is "two hundred fifty-three billion, one hundred twelve million, six hundred thirty-nine thousand, three hundred sixty".