10561768300 has 72 divisors (see below), whose sum is σ = 23280197472. Its totient is φ = 4158336000.

The previous prime is 10561768267. The next prime is 10561768307. The reversal of 10561768300 is 386716501.

It is a super-2 number, since 2×10561768300² (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 10561768300.

It is not an unprimeable number, because it can be changed into a prime (10561768307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7759620 + ... + 7760980.

It is an arithmetic number, because the mean of its divisors is an integer number (323336076).

Almost surely, 2^10561768300 is an apocalyptic number.

10561768300 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 10561768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640098736).

10561768300 is an abundant number, since it is smaller than the sum of its proper divisors (12718429172).

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

10561768300 is a wasteful number, since it uses less digits than its factorization.

10561768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10561768300 in words is "ten billion, five hundred sixty-one million, seven hundred sixty-eight thousand, three hundred".