16582977216 has 504 divisors, whose sum is σ = 55632624320. Its totient is φ = 4692639744.

The previous prime is 16582977179. The next prime is 16582977217. The reversal of 16582977216 is 61277928561.

It is a super-2 number, since 2×16582977216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16582977217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170958480 + ... + 170958576.

Almost surely, 2^16582977216 is an apocalyptic number.

16582977216 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 16582977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816312160).

16582977216 is an abundant number, since it is smaller than the sum of its proper divisors (39049647104).

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

16582977216 is a wasteful number, since it uses less digits than its factorization.

16582977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 16582977216 in words is "sixteen billion, five hundred eighty-two million, nine hundred seventy-seven thousand, two hundred sixteen".