252976464381696 has 1152 divisors, whose sum is σ = 780652538265600. Its totient is φ = 72044565626880.

The previous prime is 252976464381691. The next prime is 252976464381709. The reversal of 252976464381696 is 696183464679252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252976464381691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347973128085 + ... + 347973128811.

It is an arithmetic number, because the mean of its divisors is an integer number (677649772800).

Almost surely, 2^{252976464381696} 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 252976464381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390326269132800).

252976464381696 is an abundant number, since it is smaller than the sum of its proper divisors (527676073883904).

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

252976464381696 is a wasteful number, since it uses less digits than its factorization.

252976464381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 78.

The spelling of 252976464381696 in words is "two hundred fifty-two trillion, nine hundred seventy-six billion, four hundred sixty-four million, three hundred eighty-one thousand, six hundred ninety-six".