16556141677640 has 256 divisors, whose sum is σ = 41263462195200. Its totient is φ = 5950391910400.

The previous prime is 16556141677637. The next prime is 16556141677679. The reversal of 16556141677640 is 4677614165561.

It is a self number, because there is not a number n which added to its sum of digits gives 16556141677640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628995680 + ... + 629022000.

It is an arithmetic number, because the mean of its divisors is an integer number (161185399200).

Almost surely, 2^{16556141677640} is an apocalyptic number.

16556141677640 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 16556141677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20631731097600).

16556141677640 is an abundant number, since it is smaller than the sum of its proper divisors (24707320517560).

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

16556141677640 is a wasteful number, since it uses less digits than its factorization.

16556141677640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26736 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 16556141677640 in words is "sixteen trillion, five hundred fifty-six billion, one hundred forty-one million, six hundred seventy-seven thousand, six hundred forty".