252800084664 has 48 divisors (see below), whose sum is σ = 694885818120. Its totient is φ = 83008981440.

The previous prime is 252800084639. The next prime is 252800084743. The reversal of 252800084664 is 466480008252.

252800084664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252800084664² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 26197507 + ... + 26207154.

Almost surely, 2^252800084664 is an apocalyptic number.

252800084664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252800084664 is an abundant number, since it is smaller than the sum of its proper divisors (442085733456).

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

252800084664 is a wasteful number, since it uses less digits than its factorization.

252800084664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52404740 (or 52404733 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 252800084664 in words is "two hundred fifty-two billion, eight hundred million, eighty-four thousand, six hundred sixty-four".