20599790400 has 1008 divisors, whose sum is σ = 89980292480. Its totient is φ = 4546160640.

The previous prime is 20599790389. The next prime is 20599790401. The reversal of 20599790400 is 409799502.

20599790400 is a `hidden beast` number, since 20 + 59 + 97 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20599790401) 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 143 ways as a sum of consecutive naturals, for example, 710337586 + ... + 710337614.

Almost surely, 2^20599790400 is an apocalyptic number.

20599790400 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 20599790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44990146240).

20599790400 is an abundant number, since it is smaller than the sum of its proper divisors (69380502080).

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

20599790400 is an frugal number, since it uses more digits than its factorization.

20599790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

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

The spelling of 20599790400 in words is "twenty billion, five hundred ninety-nine million, seven hundred ninety thousand, four hundred".