19268829216 has 576 divisors, whose sum is σ = 71609481216. Its totient is φ = 4777574400.

The previous prime is 19268829127. The next prime is 19268829241. The reversal of 19268829216 is 61292886291.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 30060256 + ... + 30060896.

It is an arithmetic number, because the mean of its divisors is an integer number (124322016).

Almost surely, 2^19268829216 is an apocalyptic number.

19268829216 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 19268829216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804740608).

19268829216 is an abundant number, since it is smaller than the sum of its proper divisors (52340652000).

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

19268829216 is a wasteful number, since it uses less digits than its factorization.

19268829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 19268829216 in words is "nineteen billion, two hundred sixty-eight million, eight hundred twenty-nine thousand, two hundred sixteen".