253120812912 has 240 divisors, whose sum is σ = 824922558720. Its totient is φ = 71642188800.

The previous prime is 253120812899. The next prime is 253120812941. The reversal of 253120812912 is 219218021352.

253120812912 is a `hidden beast` number, since 2 + 531 + 20 + 8 + 12 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2077588 + ... + 2196044.

It is an arithmetic number, because the mean of its divisors is an integer number (3437177328).

Almost surely, 2^253120812912 is an apocalyptic number.

253120812912 is a gapful number since it is divisible by the number (22) 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 253120812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412461279360).

253120812912 is an abundant number, since it is smaller than the sum of its proper divisors (571801745808).

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

253120812912 is a wasteful number, since it uses less digits than its factorization.

253120812912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118572 (or 118563 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 253120812912 in words is "two hundred fifty-three billion, one hundred twenty million, eight hundred twelve thousand, nine hundred twelve".