252733053705984 has 360 divisors, whose sum is σ = 794101186826640. Its totient is φ = 79726573043712.

The previous prime is 252733053705953. The next prime is 252733053705989. The reversal of 252733053705984 is 489507350337252.

252733053705984 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 3 + 3 + 0 + 5 + 37 + 0 + 598 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252733053705989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375130194 + ... + 375803310.

It is an arithmetic number, because the mean of its divisors is an integer number (2205836630074).

Almost surely, 2^{252733053705984} is an apocalyptic number.

252733053705984 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 252733053705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397050593413320).

252733053705984 is an abundant number, since it is smaller than the sum of its proper divisors (541368133120656).

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

252733053705984 is an equidigital number, since it uses as much as digits as its factorization.

252733053705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674117 (or 674094 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 252733053705984 in words is "two hundred fifty-two trillion, seven hundred thirty-three billion, fifty-three million, seven hundred five thousand, nine hundred eighty-four".