19984478400 has 252 divisors, whose sum is σ = 72197146944. Its totient is φ = 5241600000.

The previous prime is 19984478387. The next prime is 19984478411. The reversal of 19984478400 is 487448991.

19984478400 is a `hidden beast` number, since 1 + 99 + 84 + 4 + 78 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 867025 + ... + 889775.

Almost surely, 2^19984478400 is an apocalyptic number.

19984478400 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 19984478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36098573472).

19984478400 is an abundant number, since it is smaller than the sum of its proper divisors (52212668544).

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

19984478400 is a wasteful number, since it uses less digits than its factorization.

19984478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22840 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19984478400 in words is "nineteen billion, nine hundred eighty-four million, four hundred seventy-eight thousand, four hundred".