22956066000 has 960 divisors, whose sum is σ = 99140321280. Its totient is φ = 4833561600.

The previous prime is 22956065999. The next prime is 22956066031. The reversal of 22956066000 is 66065922.

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 191 ways as a sum of consecutive naturals, for example, 102941889 + ... + 102942111.

It is an arithmetic number, because the mean of its divisors is an integer number (103271168).

Almost surely, 2^22956066000 is an apocalyptic number.

22956066000 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 22956066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49570160640).

22956066000 is an abundant number, since it is smaller than the sum of its proper divisors (76184255280).

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

22956066000 is a wasteful number, since it uses less digits than its factorization.

22956066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 22956066000 in words is "twenty-two billion, nine hundred fifty-six million, sixty-six thousand".