22864060800 has 576 divisors, whose sum is σ = 97312700160. Its totient is φ = 4997836800.

The previous prime is 22864060787. The next prime is 22864060831. The reversal of 22864060800 is 806046822.

22864060800 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 40 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4634335 + ... + 4639265.

It is an arithmetic number, because the mean of its divisors is an integer number (168945660).

Almost surely, 2^22864060800 is an apocalyptic number.

22864060800 is a gapful number since it is divisible by the number (20) 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 22864060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48656350080).

22864060800 is an abundant number, since it is smaller than the sum of its proper divisors (74448639360).

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

22864060800 is a wasteful number, since it uses less digits than its factorization.

22864060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22864060800 in words is "twenty-two billion, eight hundred sixty-four million, sixty thousand, eight hundred".