22786526880 has 864 divisors, whose sum is σ = 91807732800. Its totient is φ = 5274187776.

The previous prime is 22786526879. The next prime is 22786526897. The reversal of 22786526880 is 8862568722.

22786526880 is a `hidden beast` number, since 227 + 86 + 5 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386212291 + ... + 386212349.

It is an arithmetic number, because the mean of its divisors is an integer number (106258950).

Almost surely, 2^22786526880 is an apocalyptic number.

22786526880 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 22786526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45903866400).

22786526880 is an abundant number, since it is smaller than the sum of its proper divisors (69021205920).

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

22786526880 is a wasteful number, since it uses less digits than its factorization.

22786526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 22786526880 in words is "twenty-two billion, seven hundred eighty-six million, five hundred twenty-six thousand, eight hundred eighty".