16293828096 has 720 divisors, whose sum is σ = 60356181600. Its totient is φ = 4226826240.

The previous prime is 16293828091. The next prime is 16293828101. The reversal of 16293828096 is 69082839261.

16293828096 is a `hidden beast` number, since 1 + 629 + 3 + 8 + 2 + 8 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16293828091) and next prime (16293828101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16293828091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267111906 + ... + 267111966.

It is an arithmetic number, because the mean of its divisors is an integer number (83828030).

Almost surely, 2^16293828096 is an apocalyptic number.

16293828096 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 16293828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178090800).

16293828096 is an abundant number, since it is smaller than the sum of its proper divisors (44062353504).

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

16293828096 is an equidigital number, since it uses as much as digits as its factorization.

16293828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16293828096 in words is "sixteen billion, two hundred ninety-three million, eight hundred twenty-eight thousand, ninety-six".