20993937120 has 432 divisors, whose sum is σ = 78106300272. Its totient is φ = 5132574720.

The previous prime is 20993937119. The next prime is 20993937191. The reversal of 20993937120 is 2173939902.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68384007 + ... + 68384313.

It is an arithmetic number, because the mean of its divisors is an integer number (180801621).

Almost surely, 2^20993937120 is an apocalyptic number.

20993937120 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 20993937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053150136).

20993937120 is an abundant number, since it is smaller than the sum of its proper divisors (57112363152).

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

20993937120 is a wasteful number, since it uses less digits than its factorization.

20993937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 20993937120 in words is "twenty billion, nine hundred ninety-three million, nine hundred thirty-seven thousand, one hundred twenty".