252788707584 has 648 divisors, whose sum is σ = 883756287960. Its totient is φ = 69227053056.

The previous prime is 252788707583. The next prime is 252788707601. The reversal of 252788707584 is 485707887252.

252788707584 is a `hidden beast` number, since 25 + 27 + 8 + 8 + 7 + 0 + 7 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102963974400 + 149824733184 = 320880^2 + 387072^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (252788707583) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304931682 + ... + 304932510.

Almost surely, 2^252788707584 is an apocalyptic number.

252788707584 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 252788707584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441878143980).

252788707584 is an abundant number, since it is smaller than the sum of its proper divisors (630967580376).

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

252788707584 is a wasteful number, since it uses less digits than its factorization.

252788707584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 252788707584 in words is "two hundred fifty-two billion, seven hundred eighty-eight million, seven hundred seven thousand, five hundred eighty-four".