19819099855800 has 1536 divisors, whose sum is σ = 81594777600000. Its totient is φ = 4326690816000.

The previous prime is 19819099855781. The next prime is 19819099855817. The reversal of 19819099855800 is 855899091891.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44140533976 + ... + 44140534424.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600000).

Almost surely, 2^{19819099855800} is an apocalyptic number.

19819099855800 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 19819099855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40797388800000).

19819099855800 is an abundant number, since it is smaller than the sum of its proper divisors (61775677744200).

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

19819099855800 is a wasteful number, since it uses less digits than its factorization.

19819099855800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 72.

The spelling of 19819099855800 in words is "nineteen trillion, eight hundred nineteen billion, ninety-nine million, eight hundred fifty-five thousand, eight hundred".