252712347975360 has 3360 divisors, whose sum is σ = 1194940752445440. Its totient is φ = 50107594457088.

The previous prime is 252712347975319. The next prime is 252712347975361. The reversal of 252712347975360 is 63579743217252.

252712347975360 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 1 + 2 + 3 + 4 + 7 + 97 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 (252712347975361) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39841136349 + ... + 39841142691.

It is an arithmetic number, because the mean of its divisors is an integer number (355637128704).

Almost surely, 2^{252712347975360} is an apocalyptic number.

252712347975360 is a gapful number since it is divisible by the number (20) 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 252712347975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597470376222720).

252712347975360 is an abundant number, since it is smaller than the sum of its proper divisors (942228404470080).

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

252712347975360 is a wasteful number, since it uses less digits than its factorization.

252712347975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 252712347975360 in words is "two hundred fifty-two trillion, seven hundred twelve billion, three hundred forty-seven million, nine hundred seventy-five thousand, three hundred sixty".