253797725328 has 160 divisors (see below), whose sum is σ = 762532742400. Its totient is φ = 71236730880.

The previous prime is 253797725327. The next prime is 253797725333. The reversal of 253797725328 is 823527797352.

253797725328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253797725327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17557848 + ... + 17572296.

It is an arithmetic number, because the mean of its divisors is an integer number (4765829640).

Almost surely, 2^253797725328 is an apocalyptic number.

253797725328 is a gapful number since it is divisible by the number (28) 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 253797725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381266371200).

253797725328 is an abundant number, since it is smaller than the sum of its proper divisors (508735017072).

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

253797725328 is a wasteful number, since it uses less digits than its factorization.

253797725328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15379 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 60.

The spelling of 253797725328 in words is "two hundred fifty-three billion, seven hundred ninety-seven million, seven hundred twenty-five thousand, three hundred twenty-eight".