19894820116080 has 1280 divisors, whose sum is σ = 84683859886080. Its totient is φ = 3742049304576.

The previous prime is 19894820116069. The next prime is 19894820116099. The reversal of 19894820116080 is 8061102849891.

It is a self number, because there is not a number n which added to its sum of digits gives 19894820116080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 879551011 + ... + 879573629.

It is an arithmetic number, because the mean of its divisors is an integer number (66159265536).

Almost surely, 2^{19894820116080} is an apocalyptic number.

19894820116080 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 19894820116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42341929943040).

19894820116080 is an abundant number, since it is smaller than the sum of its proper divisors (64789039770000).

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

19894820116080 is a wasteful number, since it uses less digits than its factorization.

19894820116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22798 (or 22792 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The spelling of 19894820116080 in words is "nineteen trillion, eight hundred ninety-four billion, eight hundred twenty million, one hundred sixteen thousand, eighty".