253042075997568 has 768 divisors, whose sum is σ = 900683726342400. Its totient is φ = 67040416972800.

The previous prime is 253042075997551. The next prime is 253042075997593. The reversal of 253042075997568 is 865799570240352.

253042075997568 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 4 + 2 + 0 + 7 + 59 + 9 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 253042075997496 and 253042075997505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22651688623 + ... + 22651699793.

It is an arithmetic number, because the mean of its divisors is an integer number (1172765268675).

Almost surely, 2^{253042075997568} 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 253042075997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450341863171200).

253042075997568 is an abundant number, since it is smaller than the sum of its proper divisors (647641650344832).

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

253042075997568 is a wasteful number, since it uses less digits than its factorization.

253042075997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18471 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 253042075997568 in words is "two hundred fifty-three trillion, forty-two billion, seventy-five million, nine hundred ninety-seven thousand, five hundred sixty-eight".