19987672320 has 1728 divisors, whose sum is σ = 95629766400. Its totient is φ = 3901685760.

The previous prime is 19987672279. The next prime is 19987672343. The reversal of 19987672320 is 2327678991.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 540207342 + ... + 540207378.

It is an arithmetic number, because the mean of its divisors is an integer number (55341300).

Almost surely, 2^19987672320 is an apocalyptic number.

19987672320 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 19987672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47814883200).

19987672320 is an abundant number, since it is smaller than the sum of its proper divisors (75642094080).

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

19987672320 is a wasteful number, since it uses less digits than its factorization.

19987672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 19987672320 in words is "nineteen billion, nine hundred eighty-seven million, six hundred seventy-two thousand, three hundred twenty".