10564519680 has 864 divisors, whose sum is σ = 44114196672. Its totient is φ = 2319482880.

The previous prime is 10564519673. The next prime is 10564519681. The reversal of 10564519680 is 8691546501.

10564519680 is a `hidden beast` number, since 1 + 0 + 56 + 4 + 519 + 6 + 80 = 666.

It is a super-2 number, since 2×10564519680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564519681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199330534 + ... + 199330586.

It is an arithmetic number, because the mean of its divisors is an integer number (51058098).

Almost surely, 2^10564519680 is an apocalyptic number.

10564519680 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 10564519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057098336).

10564519680 is an abundant number, since it is smaller than the sum of its proper divisors (33549676992).

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

10564519680 is a wasteful number, since it uses less digits than its factorization.

10564519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10564519680 in words is "ten billion, five hundred sixty-four million, five hundred nineteen thousand, six hundred eighty".