10406564056 has 128 divisors (see below), whose sum is σ = 23469626880. Its totient is φ = 4233378816.

The previous prime is 10406564039. The next prime is 10406564057. The reversal of 10406564056 is 65046560401.

It is a super-2 number, since 2×10406564056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406564057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16184071 + ... + 16184713.

It is an arithmetic number, because the mean of its divisors is an integer number (183356460).

Almost surely, 2^10406564056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406564056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734813440).

10406564056 is an abundant number, since it is smaller than the sum of its proper divisors (13063062824).

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

10406564056 is a wasteful number, since it uses less digits than its factorization.

10406564056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 10406564056 in words is "ten billion, four hundred six million, five hundred sixty-four thousand, fifty-six".