20929413120 has 768 divisors, whose sum is σ = 86065804800. Its totient is φ = 4293918720.

The previous prime is 20929413103. The next prime is 20929413139. The reversal of 20929413120 is 2131492902.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264929241 + ... + 264929319.

It is an arithmetic number, because the mean of its divisors is an integer number (112064850).

Almost surely, 2^20929413120 is an apocalyptic number.

20929413120 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 20929413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43032902400).

20929413120 is an abundant number, since it is smaller than the sum of its proper divisors (65136391680).

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

20929413120 is an equidigital number, since it uses as much as digits as its factorization.

20929413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 20929413120 in words is "twenty billion, nine hundred twenty-nine million, four hundred thirteen thousand, one hundred twenty".