19823799409920 has 2304 divisors, whose sum is σ = 84493740441600. Its totient is φ = 4401937612800.

The previous prime is 19823799409823. The next prime is 19823799409949. The reversal of 19823799409920 is 2990499732891.

19823799409920 is a `hidden beast` number, since 1 + 9 + 82 + 37 + 99 + 409 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18137052894 + ... + 18137053986.

It is an arithmetic number, because the mean of its divisors is an integer number (36672630400).

Almost surely, 2^{19823799409920} is an apocalyptic number.

19823799409920 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 19823799409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42246870220800).

19823799409920 is an abundant number, since it is smaller than the sum of its proper divisors (64669941031680).

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

19823799409920 is a wasteful number, since it uses less digits than its factorization.

19823799409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 19823799409920 in words is "nineteen trillion, eight hundred twenty-three billion, seven hundred ninety-nine million, four hundred nine thousand, nine hundred twenty".