252751531680720 has 120 divisors (see below), whose sum is σ = 848908285970472. Its totient is φ = 67393707340800.

The previous prime is 252751531680671. The next prime is 252751531680721. The reversal of 252751531680720 is 27086135157252.

252751531680720 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 1 + 531 + 6 + 80 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13326909564816 + 239424622115904 = 3650604^2 + 15473352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252751531680721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10201851 + ... + 24689690.

Almost surely, 2^{252751531680720} is an apocalyptic number.

252751531680720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252751531680720 is an abundant number, since it is smaller than the sum of its proper divisors (596156754289752).

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

252751531680720 is a wasteful number, since it uses less digits than its factorization.

252751531680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34901621 (or 34901612 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 252751531680720 in words is "two hundred fifty-two trillion, seven hundred fifty-one billion, five hundred thirty-one million, six hundred eighty thousand, seven hundred twenty".