252959887641120 has 768 divisors, whose sum is σ = 916771188178944. Its totient is φ = 58058883072000.

The previous prime is 252959887641107. The next prime is 252959887641143. The reversal of 252959887641120 is 21146788959252.

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 127 ways as a sum of consecutive naturals, for example, 24471300592 + ... + 24471310928.

It is an arithmetic number, because the mean of its divisors is an integer number (1193712484608).

Almost surely, 2^{252959887641120} is an apocalyptic number.

252959887641120 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 252959887641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458385594089472).

252959887641120 is an abundant number, since it is smaller than the sum of its proper divisors (663811300537824).

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

252959887641120 is a wasteful number, since it uses less digits than its factorization.

252959887641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13625 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 252959887641120 in words is "two hundred fifty-two trillion, nine hundred fifty-nine billion, eight hundred eighty-seven million, six hundred forty-one thousand, one hundred twenty".