19029189120 has 320 divisors, whose sum is σ = 62472072960. Its totient is φ = 4939776000.

The previous prime is 19029189119. The next prime is 19029189197. The reversal of 19029189120 is 2198192091.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×19029189120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70740346 + ... + 70740614.

It is an arithmetic number, because the mean of its divisors is an integer number (195225228).

Almost surely, 2^19029189120 is an apocalyptic number.

19029189120 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 19029189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236036480).

19029189120 is an abundant number, since it is smaller than the sum of its proper divisors (43442883840).

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

19029189120 is a wasteful number, since it uses less digits than its factorization.

19029189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 19029189120 in words is "nineteen billion, twenty-nine million, one hundred eighty-nine thousand, one hundred twenty".