16182540871056 has 720 divisors, whose sum is σ = 58279558708800. Its totient is φ = 4162684151808.

The previous prime is 16182540871033. The next prime is 16182540871127. The reversal of 16182540871056 is 65017804528161.

16182540871056 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 2 + 540 + 87 + 10 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16182540870993 and 16182540871011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213257890 + ... + 213333758.

It is an arithmetic number, because the mean of its divisors is an integer number (80943831540).

Almost surely, 2^{16182540871056} is an apocalyptic number.

16182540871056 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 16182540871056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139779354400).

16182540871056 is an abundant number, since it is smaller than the sum of its proper divisors (42097017837744).

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

16182540871056 is a wasteful number, since it uses less digits than its factorization.

16182540871056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75996 (or 75980 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 16182540871056 in words is "sixteen trillion, one hundred eighty-two billion, five hundred forty million, eight hundred seventy-one thousand, fifty-six".