19930806000 has 320 divisors, whose sum is σ = 81597634560. Its totient is φ = 4555526400.

The previous prime is 19930805971. The next prime is 19930806011. The reversal of 19930806000 is 60803991.

19930806000 is a `hidden beast` number, since 19 + 9 + 30 + 8 + 0 + 600 + 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 63 ways as a sum of consecutive naturals, for example, 351637 + ... + 404363.

It is an arithmetic number, because the mean of its divisors is an integer number (254992608).

Almost surely, 2^19930806000 is an apocalyptic number.

19930806000 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 19930806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40798817280).

19930806000 is an abundant number, since it is smaller than the sum of its proper divisors (61666828560).

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

19930806000 is a wasteful number, since it uses less digits than its factorization.

19930806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52766 (or 52744 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 19930806000 in words is "nineteen billion, nine hundred thirty million, eight hundred six thousand".