19788316800 has 1152 divisors, whose sum is σ = 83051827200. Its totient is φ = 4115865600.

The previous prime is 19788316787. The next prime is 19788316813. The reversal of 19788316800 is 861388791.

It is an interprime number because it is at equal distance from previous prime (19788316787) and next prime (19788316813).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335395171 + ... + 335395229.

It is an arithmetic number, because the mean of its divisors is an integer number (72093600).

Almost surely, 2^19788316800 is an apocalyptic number.

19788316800 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 19788316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41525913600).

19788316800 is an abundant number, since it is smaller than the sum of its proper divisors (63263510400).

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

19788316800 is a wasteful number, since it uses less digits than its factorization.

19788316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 19788316800 in words is "nineteen billion, seven hundred eighty-eight million, three hundred sixteen thousand, eight hundred".