19130059200 has 672 divisors, whose sum is σ = 76902649344. Its totient is φ = 4063887360.

The previous prime is 19130059153. The next prime is 19130059211. The reversal of 19130059200 is 295003191.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61118244 + ... + 61118556.

Almost surely, 2^19130059200 is an apocalyptic number.

19130059200 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 19130059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38451324672).

19130059200 is an abundant number, since it is smaller than the sum of its proper divisors (57772590144).

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

19130059200 is a wasteful number, since it uses less digits than its factorization.

19130059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The spelling of 19130059200 in words is "nineteen billion, one hundred thirty million, fifty-nine thousand, two hundred".