21807083088 has 300 divisors, whose sum is σ = 75413149812. Its totient is φ = 6061547520.

The previous prime is 21807083069. The next prime is 21807083099. The reversal of 21807083088 is 88038070812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19490393664 + 2316689424 = 139608^2 + 48132^2 .

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 59 ways as a sum of consecutive naturals, for example, 2345008 + ... + 2354288.

Almost surely, 2^21807083088 is an apocalyptic number.

21807083088 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 21807083088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37706574906).

21807083088 is an abundant number, since it is smaller than the sum of its proper divisors (53606066724).

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

21807083088 is a wasteful number, since it uses less digits than its factorization.

21807083088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21807083088 in words is "twenty-one billion, eight hundred seven million, eighty-three thousand, eighty-eight".