19189130688 has 756 divisors, whose sum is σ = 72330640200. Its totient is φ = 5026904064.

The previous prime is 19189130687. The next prime is 19189130699. The reversal of 19189130688 is 88603198191.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×19189130688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19189130687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128786038 + ... + 128786186.

It is an arithmetic number, because the mean of its divisors is an integer number (95675450).

Almost surely, 2^19189130688 is an apocalyptic number.

19189130688 is a gapful number since it is divisible by the number (18) 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 19189130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36165320100).

19189130688 is an abundant number, since it is smaller than the sum of its proper divisors (53141509512).

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

19189130688 is a wasteful number, since it uses less digits than its factorization.

19189130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 19189130688 in words is "nineteen billion, one hundred eighty-nine million, one hundred thirty thousand, six hundred eighty-eight".