22705297920 has 960 divisors, whose sum is σ = 91692881280. Its totient is φ = 5350883328.

The previous prime is 22705297897. The next prime is 22705297943. The reversal of 22705297920 is 2979250722.

It is a happy number.

22705297920 is a `hidden beast` number, since 2 + 270 + 5 + 297 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22705297897) and next prime (22705297943).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200931784 + ... + 200931896.

It is an arithmetic number, because the mean of its divisors is an integer number (95513418).

Almost surely, 2^22705297920 is an apocalyptic number.

22705297920 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 22705297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45846440640).

22705297920 is an abundant number, since it is smaller than the sum of its proper divisors (68987583360).

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

22705297920 is a wasteful number, since it uses less digits than its factorization.

22705297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 22705297920 in words is "twenty-two billion, seven hundred five million, two hundred ninety-seven thousand, nine hundred twenty".