22982213170800 has 2400 divisors, whose sum is σ = 100029954423168. Its totient is φ = 4994900951040.

The previous prime is 22982213170771. The next prime is 22982213170879. The reversal of 22982213170800 is 807131228922.

22982213170800 is a `hidden beast` number, since 2 + 298 + 2 + 213 + 1 + 70 + 80 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 8728526284 + ... + 8728528916.

Almost surely, 2^{22982213170800} is an apocalyptic number.

22982213170800 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 22982213170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50014977211584).

22982213170800 is an abundant number, since it is smaller than the sum of its proper divisors (77047741252368).

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

22982213170800 is a wasteful number, since it uses less digits than its factorization.

22982213170800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22982213170800 in words is "twenty-two trillion, nine hundred eighty-two billion, two hundred thirteen million, one hundred seventy thousand, eight hundred".