20404519200 has 648 divisors, whose sum is σ = 80007340140. Its totient is φ = 4888166400.

The previous prime is 20404519199. The next prime is 20404519211. The reversal of 20404519200 is 291540402.

20404519200 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 451 + 9 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 5955517584 + 14449001616 = 77172^2 + 120204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49888596 + ... + 49889004.

Almost surely, 2^20404519200 is an apocalyptic number.

20404519200 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 20404519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40003670070).

20404519200 is an abundant number, since it is smaller than the sum of its proper divisors (59602820940).

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

20404519200 is a wasteful number, since it uses less digits than its factorization.

20404519200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20404519200 in words is "twenty billion, four hundred four million, five hundred nineteen thousand, two hundred".