22730355382960 has 120 divisors (see below), whose sum is σ = 55966329956880. Its totient is φ = 8584207179264.

The previous prime is 22730355382949. The next prime is 22730355382961. The reversal of 22730355382960 is 6928355303722.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22730355382961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7118731 + ... + 9804949.

It is an arithmetic number, because the mean of its divisors is an integer number (466386082974).

Almost surely, 2^{22730355382960} is an apocalyptic number.

22730355382960 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 22730355382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983164978440).

22730355382960 is an abundant number, since it is smaller than the sum of its proper divisors (33235974573920).

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

22730355382960 is a wasteful number, since it uses less digits than its factorization.

22730355382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686563 (or 2686538 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 55.

The spelling of 22730355382960 in words is "twenty-two trillion, seven hundred thirty billion, three hundred fifty-five million, three hundred eighty-two thousand, nine hundred sixty".