10561789680 has 160 divisors (see below), whose sum is σ = 35439398400. Its totient is φ = 2586608640.

The previous prime is 10561789669. The next prime is 10561789697. The reversal of 10561789680 is 8698716501.

It is a super-2 number, since 2×10561789680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612375 + ... + 629385.

It is an arithmetic number, because the mean of its divisors is an integer number (221496240).

Almost surely, 2^10561789680 is an apocalyptic number.

10561789680 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 10561789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719699200).

10561789680 is an abundant number, since it is smaller than the sum of its proper divisors (24877608720).

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

10561789680 is a wasteful number, since it uses less digits than its factorization.

10561789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239 (or 17233 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 10561789680 in words is "ten billion, five hundred sixty-one million, seven hundred eighty-nine thousand, six hundred eighty".