19820126400 has 168 divisors, whose sum is σ = 65698451280. Its totient is φ = 5230755840.

The previous prime is 19820126387. The next prime is 19820126401. The reversal of 19820126400 is 462102891.

It is not an unprimeable number, because it can be changed into a prime (19820126401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444316 + ... + 486884.

It is an arithmetic number, because the mean of its divisors is an integer number (391062210).

Almost surely, 2^19820126400 is an apocalyptic number.

19820126400 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 19820126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32849225640).

19820126400 is an abundant number, since it is smaller than the sum of its proper divisors (45878324880).

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

19820126400 is a wasteful number, since it uses less digits than its factorization.

19820126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42691 (or 42676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 19820126400 in words is "nineteen billion, eight hundred twenty million, one hundred twenty-six thousand, four hundred".