10564961904 has 120 divisors (see below), whose sum is σ = 34101473120. Its totient is φ = 2990836224.

The previous prime is 10564961903. The next prime is 10564961923. The reversal of 10564961904 is 40916946501.

It is a happy number.

It is a super-2 number, since 2×10564961904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10564961904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564961903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61794 + ... + 157950.

Almost surely, 2^10564961904 is an apocalyptic number.

10564961904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564961904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050736560).

10564961904 is an abundant number, since it is smaller than the sum of its proper divisors (23536511216).

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

10564961904 is a wasteful number, since it uses less digits than its factorization.

10564961904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96287 (or 96278 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10564961904 in words is "ten billion, five hundred sixty-four million, nine hundred sixty-one thousand, nine hundred four".