22856054083200 has 3840 divisors, whose sum is σ = 101383041070080. Its totient is φ = 5016453120000.

The previous prime is 22856054083153. The next prime is 22856054083277. The reversal of 22856054083200 is 238045065822.

22856054083200 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 6 + 0 + 540 + 83 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 108322531095 + ... + 108322531305.

It is an arithmetic number, because the mean of its divisors is an integer number (26401833612).

Almost surely, 2^{22856054083200} is an apocalyptic number.

22856054083200 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 22856054083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50691520535040).

22856054083200 is an abundant number, since it is smaller than the sum of its proper divisors (78526986986880).

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

22856054083200 is a wasteful number, since it uses less digits than its factorization.

22856054083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 22856054083200 in words is "twenty-two trillion, eight hundred fifty-six billion, fifty-four million, eighty-three thousand, two hundred".