10564672800 has 576 divisors, whose sum is σ = 39741456384. Its totient is φ = 2412748800.

The previous prime is 10564672787. The next prime is 10564672819. The reversal of 10564672800 is 827646501.

It is a super-2 number, since 2×10564672800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77114332 + ... + 77114468.

It is an arithmetic number, because the mean of its divisors is an integer number (68995584).

Almost surely, 2^10564672800 is an apocalyptic number.

10564672800 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 10564672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870728192).

10564672800 is an abundant number, since it is smaller than the sum of its proper divisors (29176783584).

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

10564672800 is a wasteful number, since it uses less digits than its factorization.

10564672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10564672800 in words is "ten billion, five hundred sixty-four million, six hundred seventy-two thousand, eight hundred".