252382324476160 has 288 divisors, whose sum is σ = 628546639795200. Its totient is φ = 96979048857600.

The previous prime is 252382324476101. The next prime is 252382324476197. The reversal of 252382324476160 is 61674423283252.

It is a super-2 number, since 2×252382324476160² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10654875837 + ... + 10654899523.

It is an arithmetic number, because the mean of its divisors is an integer number (2182453610400).

Almost surely, 2^{252382324476160} is an apocalyptic number.

252382324476160 is a gapful number since it is divisible by the number (20) 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 252382324476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314273319897600).

252382324476160 is an abundant number, since it is smaller than the sum of its proper divisors (376164315319040).

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

252382324476160 is a wasteful number, since it uses less digits than its factorization.

252382324476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25177 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 252382324476160 in words is "two hundred fifty-two trillion, three hundred eighty-two billion, three hundred twenty-four million, four hundred seventy-six thousand, one hundred sixty".