16093782432 has 720 divisors, whose sum is σ = 61041568896. Its totient is φ = 4049740800.

The previous prime is 16093782413. The next prime is 16093782437. The reversal of 16093782432 is 23428739061.

16093782432 is a `hidden beast` number, since 1 + 60 + 93 + 78 + 2 + 432 = 666.

16093782432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16093782437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226672957 + ... + 226673027.

Almost surely, 2^16093782432 is an apocalyptic number.

16093782432 is a gapful number since it is divisible by the number (12) 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 16093782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30520784448).

16093782432 is an abundant number, since it is smaller than the sum of its proper divisors (44947786464).

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

16093782432 is a wasteful number, since it uses less digits than its factorization.

16093782432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16093782432 in words is "sixteen billion, ninety-three million, seven hundred eighty-two thousand, four hundred thirty-two".