22526995680 has 288 divisors, whose sum is σ = 90690582528. Its totient is φ = 4982860800.

The previous prime is 22526995657. The next prime is 22526995709. The reversal of 22526995680 is 8659962522.

22526995680 is a `hidden beast` number, since 22 + 52 + 6 + 9 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276435 + ... + 348525.

It is an arithmetic number, because the mean of its divisors is an integer number (314897856).

Almost surely, 2^22526995680 is an apocalyptic number.

22526995680 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 22526995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45345291264).

22526995680 is an abundant number, since it is smaller than the sum of its proper divisors (68163586848).

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

22526995680 is a wasteful number, since it uses less digits than its factorization.

22526995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72150 (or 72139 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 22526995680 in words is "twenty-two billion, five hundred twenty-six million, nine hundred ninety-five thousand, six hundred eighty".