22752866304000 has 2560 divisors, whose sum is σ = 98923507562880. Its totient is φ = 5096079360000.

The previous prime is 22752866303977. The next prime is 22752866304011. The reversal of 22752866304000 is 40366825722.

22752866304000 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 2 + 8 + 6 + 630 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225275903950 + ... + 225275904050.

Almost surely, 2^{22752866304000} is an apocalyptic number.

22752866304000 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 22752866304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461753781440).

22752866304000 is an abundant number, since it is smaller than the sum of its proper divisors (76170641258880).

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

22752866304000 is an frugal number, since it uses more digits than its factorization.

22752866304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22752866304000 in words is "twenty-two trillion, seven hundred fifty-two billion, eight hundred sixty-six million, three hundred four thousand".