10056463264 has 24 divisors (see below), whose sum is σ = 20037205440. Its totient is φ = 4967649216.

The previous prime is 10056463229. The next prime is 10056463273. The reversal of 10056463264 is 46236465001.

10056463264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056463264² (a number of 21 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1890504 + ... + 1895815.

It is an arithmetic number, because the mean of its divisors is an integer number (834883560).

Almost surely, 2^10056463264 is an apocalyptic number.

It is an amenable number.

10056463264 is a deficient number, since it is larger than the sum of its proper divisors (9980742176).

10056463264 is an equidigital number, since it uses as much as digits as its factorization.

10056463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786412 (or 3786404 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

It can be divided in two parts, 1005646 and 3264, that added together give a triangular number (1008910 = T₁₄₂₀).

The spelling of 10056463264 in words is "ten billion, fifty-six million, four hundred sixty-three thousand, two hundred sixty-four".