252700093728 has 72 divisors (see below), whose sum is σ = 718667638416. Its totient is φ = 84227299200.

The previous prime is 252700093703. The next prime is 252700093739. The reversal of 252700093728 is 827390007252.

252700093728 is a `hidden beast` number, since 2 + 5 + 270 + 0 + 0 + 9 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5914683 + ... + 5957253.

It is an arithmetic number, because the mean of its divisors is an integer number (9981494978).

Almost surely, 2^252700093728 is an apocalyptic number.

It is an amenable number.

252700093728 is an abundant number, since it is smaller than the sum of its proper divisors (465967544688).

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

252700093728 is a wasteful number, since it uses less digits than its factorization.

252700093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63198 (or 63187 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 252700093728 in words is "two hundred fifty-two billion, seven hundred million, ninety-three thousand, seven hundred twenty-eight".