20979204960 has 576 divisors, whose sum is σ = 82653903360. Its totient is φ = 4443586560.

The previous prime is 20979204959. The next prime is 20979204979. The reversal of 20979204960 is 6940297902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28388271 + ... + 28389009.

It is an arithmetic number, because the mean of its divisors is an integer number (143496360).

Almost surely, 2^20979204960 is an apocalyptic number.

20979204960 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 20979204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41326951680).

20979204960 is an abundant number, since it is smaller than the sum of its proper divisors (61674698400).

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

20979204960 is a wasteful number, since it uses less digits than its factorization.

20979204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 20979204960 in words is "twenty billion, nine hundred seventy-nine million, two hundred four thousand, nine hundred sixty".