10427456824 has 32 divisors (see below), whose sum is σ = 20407140000. Its totient is φ = 4985677312.

The previous prime is 10427456813. The next prime is 10427456839. The reversal of 10427456824 is 42865472401.

10427456824 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 7 ways as a sum of consecutive naturals, for example, 1071372 + ... + 1081060.

It is an arithmetic number, because the mean of its divisors is an integer number (637723125).

Almost surely, 2^10427456824 is an apocalyptic number.

It is an amenable number.

10427456824 is a deficient number, since it is larger than the sum of its proper divisors (9979683176).

10427456824 is a wasteful number, since it uses less digits than its factorization.

10427456824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567 (or 15563 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 10427456824 in words is "ten billion, four hundred twenty-seven million, four hundred fifty-six thousand, eight hundred twenty-four".