19901859431120 has 80 divisors (see below), whose sum is σ = 48369076561920. Its totient is φ = 7606427212800.

The previous prime is 19901859431071. The next prime is 19901859431141. The reversal of 19901859431120 is 2113495810991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50594861 + ... + 50986700.

It is an arithmetic number, because the mean of its divisors is an integer number (604613457024).

Almost surely, 2^{19901859431120} is an apocalyptic number.

19901859431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19901859431120 is an abundant number, since it is smaller than the sum of its proper divisors (28467217130800).

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

19901859431120 is a wasteful number, since it uses less digits than its factorization.

19901859431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101581684 (or 101581678 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 53.

The spelling of 19901859431120 in words is "nineteen trillion, nine hundred one billion, eight hundred fifty-nine million, four hundred thirty-one thousand, one hundred twenty".