22766858956800 has 2808 divisors, whose sum is σ = 99793536900096. Its totient is φ = 5043685294080.

The previous prime is 22766858956759. The next prime is 22766858956967. The reversal of 22766858956800 is 865985866722.

22766858956800 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 6 + 8 + 58 + 9 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 221037465549 + ... + 221037465651.

Almost surely, 2^{22766858956800} is an apocalyptic number.

22766858956800 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 22766858956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896768450048).

22766858956800 is an abundant number, since it is smaller than the sum of its proper divisors (77026677943296).

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

22766858956800 is an frugal number, since it uses more digits than its factorization.

22766858956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 22766858956800 in words is "twenty-two trillion, seven hundred sixty-six billion, eight hundred fifty-eight million, nine hundred fifty-six thousand, eight hundred".