21116833920 has 768 divisors, whose sum is σ = 92643091200. Its totient is φ = 4451106816.

The previous prime is 21116833879. The next prime is 21116833949. The reversal of 21116833920 is 2933861112.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 20441724 + ... + 20442756.

It is an arithmetic number, because the mean of its divisors is an integer number (120629025).

Almost surely, 2^21116833920 is an apocalyptic number.

21116833920 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 21116833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46321545600).

21116833920 is an abundant number, since it is smaller than the sum of its proper divisors (71526257280).

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

21116833920 is a wasteful number, since it uses less digits than its factorization.

21116833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21116833920 in words is "twenty-one billion, one hundred sixteen million, eight hundred thirty-three thousand, nine hundred twenty".