19891872000 has 2304 divisors, whose sum is σ = 102852771840. Its totient is φ = 3649536000.

The previous prime is 19891871983. The next prime is 19891872001. The reversal of 19891872000 is 27819891.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19891872001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 864863989 + ... + 864864011.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^19891872000 is an apocalyptic number.

19891872000 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 19891872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51426385920).

19891872000 is an abundant number, since it is smaller than the sum of its proper divisors (82960899840).

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

19891872000 is a wasteful number, since it uses less digits than its factorization.

19891872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 19891872000 in words is "nineteen billion, eight hundred ninety-one million, eight hundred seventy-two thousand".