19781304000 has 224 divisors, whose sum is σ = 65936871936. Its totient is φ = 5225036800.

The previous prime is 19781303917. The next prime is 19781304041. The reversal of 19781304000 is 40318791.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564149 + ... + 2571851.

Almost surely, 2^19781304000 is an apocalyptic number.

19781304000 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 19781304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32968435968).

19781304000 is an abundant number, since it is smaller than the sum of its proper divisors (46155567936).

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

19781304000 is a wasteful number, since it uses less digits than its factorization.

19781304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 19781304000 in words is "nineteen billion, seven hundred eighty-one million, three hundred four thousand".