22530720199680 has 792 divisors, whose sum is σ = 99070160024160. Its totient is φ = 4681702932480.

The previous prime is 22530720199679. The next prime is 22530720199681. The reversal of 22530720199680 is 8699102703522.

22530720199680 is a `hidden beast` number, since 2 + 2 + 530 + 7 + 2 + 0 + 19 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22530720199679) and next prime (22530720199681).

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530720199681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24383551 + ... + 25290689.

Almost surely, 2^{22530720199680} is an apocalyptic number.

22530720199680 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 22530720199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49535080012080).

22530720199680 is an abundant number, since it is smaller than the sum of its proper divisors (76539439824480).

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

22530720199680 is a wasteful number, since it uses less digits than its factorization.

22530720199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907195 (or 907167 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 22530720199680 in words is "twenty-two trillion, five hundred thirty billion, seven hundred twenty million, one hundred ninety-nine thousand, six hundred eighty".