16216586181000 has 512 divisors, whose sum is σ = 57772021132800. Its totient is φ = 4204987084800.

The previous prime is 16216586180953. The next prime is 16216586181011. The reversal of 16216586181000 is 18168561261.

16216586181000 is a `hidden beast` number, since 1 + 6 + 2 + 16 + 5 + 8 + 618 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×16216586181000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2080913104 + ... + 2080920896.

It is an arithmetic number, because the mean of its divisors is an integer number (112835978775).

Almost surely, 2^{16216586181000} is an apocalyptic number.

16216586181000 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 16216586181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28886010566400).

16216586181000 is an abundant number, since it is smaller than the sum of its proper divisors (41555434951800).

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

16216586181000 is a wasteful number, since it uses less digits than its factorization.

16216586181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 16216586181000 in words is "sixteen trillion, two hundred sixteen billion, five hundred eighty-six million, one hundred eighty-one thousand".