252839060457984 has 3840 divisors, whose sum is σ = 1075149254615040. Its totient is φ = 56841669181440.

The previous prime is 252839060457979. The next prime is 252839060458001. The reversal of 252839060457984 is 489754060938252.

252839060457984 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 3 + 9 + 0 + 604 + 5 + 7 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 219287996352 + ... + 219287997504.

It is an arithmetic number, because the mean of its divisors is an integer number (279986785056).

Almost surely, 2^{252839060457984} is an apocalyptic number.

252839060457984 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 252839060457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537574627307520).

252839060457984 is an abundant number, since it is smaller than the sum of its proper divisors (822310194157056).

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

252839060457984 is a wasteful number, since it uses less digits than its factorization.

252839060457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 252839060457984 in words is "two hundred fifty-two trillion, eight hundred thirty-nine billion, sixty million, four hundred fifty-seven thousand, nine hundred eighty-four".