19800381672 has 96 divisors (see below), whose sum is σ = 54208440000. Its totient is φ = 6528636672.

The previous prime is 19800381647. The next prime is 19800381691. The reversal of 19800381672 is 27618300891.

It is a super-2 number, since 2×19800381672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6600829 + ... + 6603827.

It is an arithmetic number, because the mean of its divisors is an integer number (564671250).

Almost surely, 2^19800381672 is an apocalyptic number.

19800381672 is a gapful number since it is divisible by the number (12) 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 19800381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104220000).

19800381672 is an abundant number, since it is smaller than the sum of its proper divisors (34408058328).

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

19800381672 is a wasteful number, since it uses less digits than its factorization.

19800381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19800381672 in words is "nineteen billion, eight hundred million, three hundred eighty-one thousand, six hundred seventy-two".