10564722400 has 72 divisors (see below), whose sum is σ = 25873109640. Its totient is φ = 4212456960.

The previous prime is 10564722379. The next prime is 10564722461. The reversal of 10564722400 is 422746501.

It is a super-2 number, since 2×10564722400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 232771 + ... + 274429.

It is an arithmetic number, because the mean of its divisors is an integer number (359348745).

Almost surely, 2^10564722400 is an apocalyptic number.

10564722400 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 10564722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936554820).

10564722400 is an abundant number, since it is smaller than the sum of its proper divisors (15308387240).

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

10564722400 is a wasteful number, since it uses less digits than its factorization.

10564722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41996 (or 41983 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 10564722400 in words is "ten billion, five hundred sixty-four million, seven hundred twenty-two thousand, four hundred".