252657761975424 has 2304 divisors, whose sum is σ = 910229246035200. Its totient is φ = 66493572710400.

The previous prime is 252657761975419. The next prime is 252657761975477. The reversal of 252657761975424 is 424579167756252.

252657761975424 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 5 + 7 + 7 + 6 + 197 + 5 + 424 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 332007571204 + ... + 332007571964.

It is an arithmetic number, because the mean of its divisors is an integer number (395064776925).

Almost surely, 2^{252657761975424} is an apocalyptic number.

252657761975424 is a gapful number since it is divisible by the number (24) 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 252657761975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455114623017600).

252657761975424 is an abundant number, since it is smaller than the sum of its proper divisors (657571484059776).

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

252657761975424 is a wasteful number, since it uses less digits than its factorization.

252657761975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 909 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 252657761975424 in words is "two hundred fifty-two trillion, six hundred fifty-seven billion, seven hundred sixty-one million, nine hundred seventy-five thousand, four hundred twenty-four".