10564872410 has 16 divisors (see below), whose sum is σ = 19018280736. Its totient is φ = 4225613328.

The previous prime is 10564872407. The next prime is 10564872413. The reversal of 10564872410 is 1427846501.

It is an interprime number because it is at equal distance from previous prime (10564872407) and next prime (10564872413).

It is a super-2 number, since 2×10564872410² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10564872413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120029 + ... + 188511.

It is an arithmetic number, because the mean of its divisors is an integer number (1188642546).

Almost surely, 2^10564872410 is an apocalyptic number.

10564872410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10564872410 is a deficient number, since it is larger than the sum of its proper divisors (8453408326).

10564872410 is a wasteful number, since it uses less digits than its factorization.

10564872410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83917.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 10564872410 in words is "ten billion, five hundred sixty-four million, eight hundred seventy-two thousand, four hundred ten".