19931904000 has 576 divisors, whose sum is σ = 73944692640. Its totient is φ = 5160960000.

The previous prime is 19931903977. The next prime is 19931904061. The reversal of 19931904000 is 40913991.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 94463895 + ... + 94464105.

Almost surely, 2^19931904000 is an apocalyptic number.

19931904000 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 19931904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36972346320).

19931904000 is an abundant number, since it is smaller than the sum of its proper divisors (54012788640).

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

19931904000 is a wasteful number, since it uses less digits than its factorization.

19931904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 19931904000 in words is "nineteen billion, nine hundred thirty-one million, nine hundred four thousand".