10564309440 has 224 divisors, whose sum is σ = 37349948160. Its totient is φ = 2810999808.

The previous prime is 10564309409. The next prime is 10564309447. The reversal of 10564309440 is 4490346501.

10564309440 is a `hidden beast` number, since 1 + 0 + 5 + 643 + 0 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×10564309440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10564309395 and 10564309404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564309447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5070639 + ... + 5072721.

It is an arithmetic number, because the mean of its divisors is an integer number (166740840).

Almost surely, 2^10564309440 is an apocalyptic number.

10564309440 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 10564309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674974080).

10564309440 is an abundant number, since it is smaller than the sum of its proper divisors (26785638720).

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

10564309440 is a wasteful number, since it uses less digits than its factorization.

10564309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10564309440 in words is "ten billion, five hundred sixty-four million, three hundred nine thousand, four hundred forty".