20799144960 has 792 divisors, whose sum is σ = 79662820608. Its totient is φ = 4622745600.

The previous prime is 20799144959. The next prime is 20799145033. The reversal of 20799144960 is 6944199702.

It is a happy number.

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, 670940145 + ... + 670940175.

Almost surely, 2^20799144960 is an apocalyptic number.

20799144960 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 20799144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831410304).

20799144960 is an abundant number, since it is smaller than the sum of its proper divisors (58863675648).

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

20799144960 is a wasteful number, since it uses less digits than its factorization.

20799144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 20799144960 in words is "twenty billion, seven hundred ninety-nine million, one hundred forty-four thousand, nine hundred sixty".