19126107000 has 1152 divisors, whose sum is σ = 87908446080. Its totient is φ = 3649536000.

The previous prime is 19126106981. The next prime is 19126107037. The reversal of 19126107000 is 70162191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99098904 + ... + 99099096.

It is an arithmetic number, because the mean of its divisors is an integer number (76309415).

Almost surely, 2^19126107000 is an apocalyptic number.

19126107000 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 19126107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43954223040).

19126107000 is an abundant number, since it is smaller than the sum of its proper divisors (68782339080).

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

19126107000 is a wasteful number, since it uses less digits than its factorization.

19126107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 19126107000 its reverse (70162191), we get a palindrome (19196269191).

The spelling of 19126107000 in words is "nineteen billion, one hundred twenty-six million, one hundred seven thousand".