16582332240 has 120 divisors (see below), whose sum is σ = 57609381960. Its totient is φ = 4269468672.

The previous prime is 16582332227. The next prime is 16582332271. The reversal of 16582332240 is 4223328561.

16582332240 is a `hidden beast` number, since 1 + 6 + 5 + 82 + 332 + 240 = 666.

16582332240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2918592576 + 13663739664 = 54024^2 + 116892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 16582332195 and 16582332204.

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 23 ways as a sum of consecutive naturals, for example, 376207 + ... + 417966.

It is an arithmetic number, because the mean of its divisors is an integer number (480078183).

Almost surely, 2^16582332240 is an apocalyptic number.

16582332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16582332240 is an abundant number, since it is smaller than the sum of its proper divisors (41027049720).

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

16582332240 is a wasteful number, since it uses less digits than its factorization.

16582332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794221 (or 794212 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16582332240 in words is "sixteen billion, five hundred eighty-two million, three hundred thirty-two thousand, two hundred forty".