21692590920 has 768 divisors, whose sum is σ = 100255034880. Its totient is φ = 3914956800.

The previous prime is 21692590901. The next prime is 21692590951. The reversal of 21692590920 is 2909529612.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 6124350 + ... + 6127890.

It is an arithmetic number, because the mean of its divisors is an integer number (130540410).

Almost surely, 2^21692590920 is an apocalyptic number.

21692590920 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 21692590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127517440).

21692590920 is an abundant number, since it is smaller than the sum of its proper divisors (78562443960).

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

21692590920 is a wasteful number, since it uses less digits than its factorization.

21692590920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 21692590920 in words is "twenty-one billion, six hundred ninety-two million, five hundred ninety thousand, nine hundred twenty".