252998561680704 has 672 divisors, whose sum is σ = 871147818418176. Its totient is φ = 68686065745920.

The previous prime is 252998561680649. The next prime is 252998561680727. The reversal of 252998561680704 is 407086165899252.

252998561680704 is a `hidden beast` number, since 2 + 52 + 9 + 9 + 8 + 561 + 6 + 8 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1511194569 + ... + 1511361975.

Almost surely, 2^{252998561680704} is an apocalyptic number.

252998561680704 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 252998561680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435573909209088).

252998561680704 is an abundant number, since it is smaller than the sum of its proper divisors (618149256737472).

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

252998561680704 is a wasteful number, since it uses less digits than its factorization.

252998561680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167683 (or 167670 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 252998561680704 in words is "two hundred fifty-two trillion, nine hundred ninety-eight billion, five hundred sixty-one million, six hundred eighty thousand, seven hundred four".