10072182264 has 64 divisors (see below), whose sum is σ = 27658195200. Its totient is φ = 3042395136.

The previous prime is 10072182257. The next prime is 10072182301. The reversal of 10072182264 is 46228127001.

10072182264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469689 + ... + 490664.

It is an arithmetic number, because the mean of its divisors is an integer number (432159300).

Almost surely, 2^10072182264 is an apocalyptic number.

It is an amenable number.

10072182264 is an abundant number, since it is smaller than the sum of its proper divisors (17586012936).

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

10072182264 is a wasteful number, since it uses less digits than its factorization.

10072182264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960404 (or 960400 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10072182264 in words is "ten billion, seventy-two million, one hundred eighty-two thousand, two hundred sixty-four".