10564934400 has 324 divisors, whose sum is σ = 38056418400. Its totient is φ = 2796134400.

The previous prime is 10564934399. The next prime is 10564934423. The reversal of 10564934400 is 443946501.

10564934400 is a `hidden beast` number, since 1 + 0 + 5 + 649 + 3 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×10564934400² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8581785 + ... + 8583015.

Almost surely, 2^10564934400 is an apocalyptic number.

10564934400 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 10564934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028209200).

10564934400 is an abundant number, since it is smaller than the sum of its proper divisors (27491484000).

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

10564934400 is a wasteful number, since it uses less digits than its factorization.

10564934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1390 counting only the distinct ones).

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

The spelling of 10564934400 in words is "ten billion, five hundred sixty-four million, nine hundred thirty-four thousand, four hundred".