19879949980800 has 2304 divisors, whose sum is σ = 94705145982720. Its totient is φ = 3851078860800.

The previous prime is 19879949980741. The next prime is 19879949980861. The reversal of 19879949980800 is 808994997891.

It is a super-2 number, since 2×19879949980800² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19879949980800.

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 287 ways as a sum of consecutive naturals, for example, 1826692159 + ... + 1826703041.

It is an arithmetic number, because the mean of its divisors is an integer number (41104664055).

Almost surely, 2^{19879949980800} is an apocalyptic number.

19879949980800 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 19879949980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47352572991360).

19879949980800 is an abundant number, since it is smaller than the sum of its proper divisors (74825196001920).

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

19879949980800 is a wasteful number, since it uses less digits than its factorization.

19879949980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 81.

The spelling of 19879949980800 in words is "nineteen trillion, eight hundred seventy-nine billion, nine hundred forty-nine million, nine hundred eighty thousand, eight hundred".