252577755808 has 96 divisors (see below), whose sum is σ = 578449710720. Its totient is φ = 106317619200.

The previous prime is 252577755803. The next prime is 252577755839. The reversal of 252577755808 is 808557775252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252577755803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15864460 + ... + 15880372.

It is an arithmetic number, because the mean of its divisors is an integer number (6025517820).

Almost surely, 2^252577755808 is an apocalyptic number.

252577755808 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 252577755808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289224855360).

252577755808 is an abundant number, since it is smaller than the sum of its proper divisors (325871954912).

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

252577755808 is a wasteful number, since it uses less digits than its factorization.

252577755808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 54880000, while the sum is 61.

The spelling of 252577755808 in words is "two hundred fifty-two billion, five hundred seventy-seven million, seven hundred fifty-five thousand, eight hundred eight".