252887853398544 has 1920 divisors, whose sum is σ = 950041593446400. Its totient is φ = 60949367930880.

The previous prime is 252887853398507. The next prime is 252887853398659. The reversal of 252887853398544 is 445893358788252.

252887853398544 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 8 + 78 + 533 + 9 + 8 + 5 + 4 + 4 = 666.

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, 382583741574 + ... + 382583742234.

It is an arithmetic number, because the mean of its divisors is an integer number (494813329920).

Almost surely, 2^{252887853398544} is an apocalyptic number.

252887853398544 is a gapful number since it is divisible by the number (24) 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 252887853398544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475020796723200).

252887853398544 is an abundant number, since it is smaller than the sum of its proper divisors (697153740047856).

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

252887853398544 is a wasteful number, since it uses less digits than its factorization.

252887853398544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its digits is 18579456000, while the sum is 81.

The spelling of 252887853398544 in words is "two hundred fifty-two trillion, eight hundred eighty-seven billion, eight hundred fifty-three million, three hundred ninety-eight thousand, five hundred forty-four".