19272130416 has 600 divisors, whose sum is σ = 72413865216. Its totient is φ = 4890896640.

The previous prime is 19272130391. The next prime is 19272130417. The reversal of 19272130416 is 61403127291.

19272130416 is a `hidden beast` number, since 1 + 9 + 27 + 213 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19272130417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32831275 + ... + 32831861.

Almost surely, 2^19272130416 is an apocalyptic number.

19272130416 is a gapful number since it is divisible by the number (16) 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 19272130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36206932608).

19272130416 is an abundant number, since it is smaller than the sum of its proper divisors (53141734800).

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

19272130416 is a wasteful number, since it uses less digits than its factorization.

19272130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19272130416 in words is "nineteen billion, two hundred seventy-two million, one hundred thirty thousand, four hundred sixteen".