19408896000 has 840 divisors, whose sum is σ = 78218498904. Its totient is φ = 4777574400.

The previous prime is 19408895999. The next prime is 19408896007. The reversal of 19408896000 is 69880491.

It can be written as a sum of positive squares in 4 ways, for example, as 3057647616 + 16351248384 = 55296^2 + 127872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19408896007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991994 + ... + 1492992006.

Almost surely, 2^19408896000 is an apocalyptic number.

19408896000 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 19408896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39109249452).

19408896000 is an abundant number, since it is smaller than the sum of its proper divisors (58809602904).

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

19408896000 is an frugal number, since it uses more digits than its factorization.

19408896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19408896000 in words is "nineteen billion, four hundred eight million, eight hundred ninety-six thousand".