19948748800 has 180 divisors, whose sum is σ = 50024985696. Its totient is φ = 7890534400.

The previous prime is 19948748791. The next prime is 19948748867. The reversal of 19948748800 is 884784991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46284585 + ... + 46285015.

Almost surely, 2^19948748800 is an apocalyptic number.

19948748800 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 19948748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25012492848).

19948748800 is an abundant number, since it is smaller than the sum of its proper divisors (30076236896).

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

19948748800 is an equidigital number, since it uses as much as digits as its factorization.

19948748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 19948748800 in words is "nineteen billion, nine hundred forty-eight million, seven hundred forty-eight thousand, eight hundred".