19809504000 has 1296 divisors, whose sum is σ = 86477829984. Its totient is φ = 4313088000.

The previous prime is 19809503993. The next prime is 19809504019. The reversal of 19809504000 is 40590891.

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 143 ways as a sum of consecutive naturals, for example, 535391982 + ... + 535392018.

Almost surely, 2^19809504000 is an apocalyptic number.

19809504000 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 19809504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43238914992).

19809504000 is an abundant number, since it is smaller than the sum of its proper divisors (66668325984).

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

19809504000 is a wasteful number, since it uses less digits than its factorization.

19809504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 19809504000 in words is "nineteen billion, eight hundred nine million, five hundred four thousand".