10000627752 has 64 divisors (see below), whose sum is σ = 25394083200. Its totient is φ = 3281358080.

The previous prime is 10000627733. The next prime is 10000627829. The reversal of 10000627752 is 25772600001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149274 + ... + 1157942.

It is an arithmetic number, because the mean of its divisors is an integer number (396782550).

Almost surely, 2^10000627752 is an apocalyptic number.

10000627752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000627752 is an abundant number, since it is smaller than the sum of its proper divisors (15393455448).

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

10000627752 is a wasteful number, since it uses less digits than its factorization.

10000627752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10000627752 in words is "ten billion, six hundred twenty-seven thousand, seven hundred fifty-two".