19944072000 has 672 divisors, whose sum is σ = 76648665600. Its totient is φ = 4935168000.

The previous prime is 19944071963. The next prime is 19944072013. The reversal of 19944072000 is 27044991.

19944072000 is a `hidden beast` number, since 1 + 9 + 9 + 440 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83447881 + ... + 83448119.

Almost surely, 2^19944072000 is an apocalyptic number.

19944072000 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 19944072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38324332800).

19944072000 is an abundant number, since it is smaller than the sum of its proper divisors (56704593600).

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

19944072000 is a wasteful number, since it uses less digits than its factorization.

19944072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19944072000 in words is "nineteen billion, nine hundred forty-four million, seventy-two thousand".