252450595738880 has 576 divisors, whose sum is σ = 794787447767040. Its totient is φ = 74527440076800.

The previous prime is 252450595738823. The next prime is 252450595738933. The reversal of 252450595738880 is 88837595054252.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 142722926 + ... + 144480914.

It is an arithmetic number, because the mean of its divisors is an integer number (1379839319040).

Almost surely, 2^{252450595738880} is an apocalyptic number.

252450595738880 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 252450595738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397393723883520).

252450595738880 is an abundant number, since it is smaller than the sum of its proper divisors (542336852028160).

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

252450595738880 is a wasteful number, since it uses less digits than its factorization.

252450595738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758106 (or 1758092 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 71.

The spelling of 252450595738880 in words is "two hundred fifty-two trillion, four hundred fifty billion, five hundred ninety-five million, seven hundred thirty-eight thousand, eight hundred eighty".