252710398080 has 192 divisors, whose sum is σ = 997303694400. Its totient is φ = 57762367488.

The previous prime is 252710398079. The next prime is 252710398091. The reversal of 252710398080 is 80893017252.

It is a happy number.

252710398080 is a `hidden beast` number, since 2 + 527 + 10 + 39 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093490 + ... + 3174129.

It is an arithmetic number, because the mean of its divisors is an integer number (5194290075).

Almost surely, 2^252710398080 is an apocalyptic number.

252710398080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252710398080 is an abundant number, since it is smaller than the sum of its proper divisors (744593296320).

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

252710398080 is a wasteful number, since it uses less digits than its factorization.

252710398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267651 (or 6267636 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 252710398080 in words is "two hundred fifty-two billion, seven hundred ten million, three hundred ninety-eight thousand, eighty".