21986572608 has 1120 divisors, whose sum is σ = 92526551040. Its totient is φ = 4971663360.

The previous prime is 21986572561. The next prime is 21986572631. The reversal of 21986572608 is 80627568912.

21986572608 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 6 + 572 + 60 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98594385 + ... + 98594607.

It is an arithmetic number, because the mean of its divisors is an integer number (82612992).

Almost surely, 2^21986572608 is an apocalyptic number.

21986572608 is a gapful number since it is divisible by the number (28) 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 21986572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46263275520).

21986572608 is an abundant number, since it is smaller than the sum of its proper divisors (70539978432).

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

21986572608 is a wasteful number, since it uses less digits than its factorization.

21986572608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 21986572608 in words is "twenty-one billion, nine hundred eighty-six million, five hundred seventy-two thousand, six hundred eight".