20799590400 has 312 divisors, whose sum is σ = 76420064160. Its totient is φ = 5545820160.

The previous prime is 20799590347. The next prime is 20799590401. The reversal of 20799590400 is 409599702.

20799590400 is a `hidden beast` number, since 2 + 0 + 79 + 95 + 90 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20799590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761039 + ... + 2768561.

Almost surely, 2^20799590400 is an apocalyptic number.

20799590400 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 20799590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38210032080).

20799590400 is an abundant number, since it is smaller than the sum of its proper divisors (55620473760).

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

20799590400 is an equidigital number, since it uses as much as digits as its factorization.

20799590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20799590400 in words is "twenty billion, seven hundred ninety-nine million, five hundred ninety thousand, four hundred".