253188115272576 has 1280 divisors, whose sum is σ = 875003171328000. Its totient is φ = 71868529152000.

The previous prime is 253188115272511. The next prime is 253188115272583. The reversal of 253188115272576 is 675272511881352.

253188115272576 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 8 + 8 + 1 + 1 + 52 + 7 + 2 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240902107251 + ... + 240902108301.

It is an arithmetic number, because the mean of its divisors is an integer number (683596227600).

Almost surely, 2^{253188115272576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253188115272576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437501585664000).

253188115272576 is an abundant number, since it is smaller than the sum of its proper divisors (621815056055424).

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

253188115272576 is a wasteful number, since it uses less digits than its factorization.

253188115272576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2232 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 63.

The spelling of 253188115272576 in words is "two hundred fifty-three trillion, one hundred eighty-eight billion, one hundred fifteen million, two hundred seventy-two thousand, five hundred seventy-six".