16294806240 has 96 divisors (see below), whose sum is σ = 51559151616. Its totient is φ = 4325767680.

The previous prime is 16294806233. The next prime is 16294806257. The reversal of 16294806240 is 4260849261.

16294806240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16294806192 and 16294806201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30925 + ... + 183155.

It is an arithmetic number, because the mean of its divisors is an integer number (537074496).

Almost surely, 2^16294806240 is an apocalyptic number.

16294806240 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 16294806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779575808).

16294806240 is an abundant number, since it is smaller than the sum of its proper divisors (35264345376).

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

16294806240 is a wasteful number, since it uses less digits than its factorization.

16294806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152472 (or 152464 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 16294806240 in words is "sixteen billion, two hundred ninety-four million, eight hundred six thousand, two hundred forty".