19968832800 has 1080 divisors, whose sum is σ = 89439744240. Its totient is φ = 4311014400.

The previous prime is 19968832777. The next prime is 19968832811. The reversal of 19968832800 is 823886991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 60328635 + ... + 60328965.

It is an arithmetic number, because the mean of its divisors is an integer number (82814578).

Almost surely, 2^19968832800 is an apocalyptic number.

19968832800 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 19968832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44719872120).

19968832800 is an abundant number, since it is smaller than the sum of its proper divisors (69470911440).

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

19968832800 is a wasteful number, since it uses less digits than its factorization.

19968832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 19968832800 in words is "nineteen billion, nine hundred sixty-eight million, eight hundred thirty-two thousand, eight hundred".