20926905120 has 768 divisors, whose sum is σ = 85593231360. Its totient is φ = 4724121600.

The previous prime is 20926905119. The next prime is 20926905127. The reversal of 20926905120 is 2150962902.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20926905127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44811127 + ... + 44811593.

It is an arithmetic number, because the mean of its divisors is an integer number (111449520).

Almost surely, 2^20926905120 is an apocalyptic number.

20926905120 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 20926905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42796615680).

20926905120 is an abundant number, since it is smaller than the sum of its proper divisors (64666326240).

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

20926905120 is a wasteful number, since it uses less digits than its factorization.

20926905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20926905120 in words is "twenty billion, nine hundred twenty-six million, nine hundred five thousand, one hundred twenty".