253881903403584 has 567 divisors, whose sum is σ = 769199653483443. Its totient is φ = 83137056659712.

The previous prime is 253881903403549. The next prime is 253881903403621. The reversal of 253881903403584 is 485304309188352.

The square root of 253881903403584 is 15933672.

It is a perfect power (a square), and thus also a powerful number.

253881903403584 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 8 + 1 + 9 + 0 + 3 + 40 + 3 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 691776303369 + ... + 691776303735.

Almost surely, 2^{253881903403584} is an apocalyptic number.

253881903403584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

253881903403584 is the 15933672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253881903403584

253881903403584 is an abundant number, since it is smaller than the sum of its proper divisors (515317750079859).

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

253881903403584 is an frugal number, since it uses more digits than its factorization.

253881903403584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 253881903403584 in words is "two hundred fifty-three trillion, eight hundred eighty-one billion, nine hundred three million, four hundred three thousand, five hundred eighty-four".