19939968000 has 528 divisors, whose sum is σ = 75720003840. Its totient is φ = 5031936000.

The previous prime is 19939967959. The next prime is 19939968001. The reversal of 19939968000 is 86993991.

19939968000 is a `hidden beast` number, since 199 + 399 + 68 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (19939968001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21887545 + ... + 21888455.

Almost surely, 2^19939968000 is an apocalyptic number.

19939968000 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 19939968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37860001920).

19939968000 is an abundant number, since it is smaller than the sum of its proper divisors (55780035840).

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

19939968000 is a wasteful number, since it uses less digits than its factorization.

19939968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 19939968000 in words is "nineteen billion, nine hundred thirty-nine million, nine hundred sixty-eight thousand".