10564115520 has 896 divisors, whose sum is σ = 44382781440. Its totient is φ = 2070282240.

The previous prime is 10564115467. The next prime is 10564115521. The reversal of 10564115520 is 2551146501.

It is a super-2 number, since 2×10564115520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10564115521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67287282 + ... + 67287438.

Almost surely, 2^10564115520 is an apocalyptic number.

10564115520 is a gapful number since it is divisible by the number (10) 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 10564115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191390720).

10564115520 is an abundant number, since it is smaller than the sum of its proper divisors (33818665920).

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

10564115520 is a wasteful number, since it uses less digits than its factorization.

10564115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10564115520 in words is "ten billion, five hundred sixty-four million, one hundred fifteen thousand, five hundred twenty".