252097427893248 has 880 divisors, whose sum is σ = 906096905683200. Its totient is φ = 68202382786560.

The previous prime is 252097427893211. The next prime is 252097427893271. The reversal of 252097427893248 is 842398724790252.

252097427893248 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 97 + 427 + 8 + 93 + 24 + 8 = 666.

It is a super-2 number, since 2×252097427893248² (a number of 30 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 27920853598 + ... + 27920862626.

It is an arithmetic number, because the mean of its divisors is an integer number (1029655574640).

Almost surely, 2^{252097427893248} is an apocalyptic number.

252097427893248 is a gapful number since it is divisible by the number (28) 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 252097427893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453048452841600).

252097427893248 is an abundant number, since it is smaller than the sum of its proper divisors (653999477789952).

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

252097427893248 is a wasteful number, since it uses less digits than its factorization.

252097427893248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 252097427893248 in words is "two hundred fifty-two trillion, ninety-seven billion, four hundred twenty-seven million, eight hundred ninety-three thousand, two hundred forty-eight".