19915948800 has 972 divisors, whose sum is σ = 84203532504. Its totient is φ = 4438425600.

The previous prime is 19915948771. The next prime is 19915948849. The reversal of 19915948800 is 884951991.

19915948800 is a `hidden beast` number, since 1 + 9 + 9 + 159 + 488 + 0 + 0 = 666.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 463161579 + ... + 463161621.

Almost surely, 2^19915948800 is an apocalyptic number.

19915948800 is a gapful number since it is divisible by the number (10) 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 19915948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42101766252).

19915948800 is an abundant number, since it is smaller than the sum of its proper divisors (64287583704).

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

19915948800 is a wasteful number, since it uses less digits than its factorization.

19915948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 19915948800 in words is "nineteen billion, nine hundred fifteen million, nine hundred forty-eight thousand, eight hundred".