22705945920 has 560 divisors, whose sum is σ = 96338550528. Its totient is φ = 4963368960.

The previous prime is 22705945901. The next prime is 22705945961. The reversal of 22705945920 is 2954950722.

22705945920 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 59 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 4170400 + ... + 4175840.

Almost surely, 2^22705945920 is an apocalyptic number.

22705945920 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 22705945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48169275264).

22705945920 is an abundant number, since it is smaller than the sum of its proper divisors (73632604608).

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

22705945920 is a wasteful number, since it uses less digits than its factorization.

22705945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 22705945920 in words is "twenty-two billion, seven hundred five million, nine hundred forty-five thousand, nine hundred twenty".