252901368861120 has 2688 divisors, whose sum is σ = 1062261493862400. Its totient is φ = 54016671744000.

The previous prime is 252901368860993. The next prime is 252901368861173. The reversal of 252901368861120 is 21168863109252.

252901368861120 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 0 + 13 + 6 + 8 + 8 + 611 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 750449165592 + ... + 750449165928.

Almost surely, 2^{252901368861120} is an apocalyptic number.

252901368861120 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 252901368861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531130746931200).

252901368861120 is an abundant number, since it is smaller than the sum of its proper divisors (809360125001280).

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

252901368861120 is a wasteful number, since it uses less digits than its factorization.

252901368861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 252901368861120 in words is "two hundred fifty-two trillion, nine hundred one billion, three hundred sixty-eight million, eight hundred sixty-one thousand, one hundred twenty".