19828590400 has 84 divisors (see below), whose sum is σ = 48852185760. Its totient is φ = 7921446400.

The previous prime is 19828590359. The next prime is 19828590401. The reversal of 19828590400 is 409582891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19828590401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335015 + ... + 1349785.

It is an arithmetic number, because the mean of its divisors is an integer number (581573640).

Almost surely, 2^19828590400 is an apocalyptic number.

19828590400 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 19828590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24426092880).

19828590400 is an abundant number, since it is smaller than the sum of its proper divisors (29023595360).

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

19828590400 is a wasteful number, since it uses less digits than its factorization.

19828590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 19828590400 in words is "nineteen billion, eight hundred twenty-eight million, five hundred ninety thousand, four hundred".