19964880000 has 960 divisors, whose sum is σ = 81191510400. Its totient is φ = 4852224000.

The previous prime is 19964879989. The next prime is 19964880017. The reversal of 19964880000 is 8846991.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 252719961 + ... + 252720039.

It is an arithmetic number, because the mean of its divisors is an integer number (84574490).

Almost surely, 2^19964880000 is an apocalyptic number.

19964880000 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 19964880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40595755200).

19964880000 is an abundant number, since it is smaller than the sum of its proper divisors (61226630400).

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

19964880000 is an frugal number, since it uses more digits than its factorization.

19964880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19964880000 in words is "nineteen billion, nine hundred sixty-four million, eight hundred eighty thousand".