19828972800 has 1296 divisors, whose sum is σ = 90909598080. Its totient is φ = 4140564480.

The previous prime is 19828972799. The next prime is 19828972853. The reversal of 19828972800 is 827982891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 204422352 + ... + 204422448.

Almost surely, 2^19828972800 is an apocalyptic number.

19828972800 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 19828972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454799040).

19828972800 is an abundant number, since it is smaller than the sum of its proper divisors (71080625280).

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

19828972800 is a wasteful number, since it uses less digits than its factorization.

19828972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 19828972800 in words is "nineteen billion, eight hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred".