20199628800 has 672 divisors, whose sum is σ = 80203304160. Its totient is φ = 4954521600.

The previous prime is 20199628759. The next prime is 20199628817. The reversal of 20199628800 is 882699102.

20199628800 is a `hidden beast` number, since 2 + 0 + 19 + 9 + 628 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884660 + ... + 71884940.

It is an arithmetic number, because the mean of its divisors is an integer number (119350155).

Almost surely, 2^20199628800 is an apocalyptic number.

20199628800 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 20199628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40101652080).

20199628800 is an abundant number, since it is smaller than the sum of its proper divisors (60003675360).

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

20199628800 is a wasteful number, since it uses less digits than its factorization.

20199628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 20199628800 in words is "twenty billion, one hundred ninety-nine million, six hundred twenty-eight thousand, eight hundred".