252379684581570 has 384 divisors, whose sum is σ = 813126951995904. Its totient is φ = 52886816980992.

The previous prime is 252379684581559. The next prime is 252379684581601. The reversal of 252379684581570 is 75185486973252.

252379684581570 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 7 + 9 + 6 + 8 + 45 + 8 + 1 + 570 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 968820477 + ... + 969080943.

It is an arithmetic number, because the mean of its divisors is an integer number (2117518104156).

It is a 1-persistent number, because it is pandigital, but 2⋅252379684581570 = 504759369163140 is not.

Almost surely, 2^{252379684581570} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252379684581570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406563475997952).

252379684581570 is an abundant number, since it is smaller than the sum of its proper divisors (560747267414334).

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

252379684581570 is a wasteful number, since it uses less digits than its factorization.

252379684581570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261306 (or 261303 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 252379684581570 in words is "two hundred fifty-two trillion, three hundred seventy-nine billion, six hundred eighty-four million, five hundred eighty-one thousand, five hundred seventy".