16583277216 has 288 divisors, whose sum is σ = 51390230976. Its totient is φ = 4640256000.

The previous prime is 16583277209. The next prime is 16583277229. The reversal of 16583277216 is 61277238561.

16583277216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 15629326 + ... + 15630386.

It is an arithmetic number, because the mean of its divisors is an integer number (178438302).

Almost surely, 2^16583277216 is an apocalyptic number.

16583277216 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 16583277216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695115488).

16583277216 is an abundant number, since it is smaller than the sum of its proper divisors (34806953760).

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

16583277216 is a wasteful number, since it uses less digits than its factorization.

16583277216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1137 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 16583277216 in words is "sixteen billion, five hundred eighty-three million, two hundred seventy-seven thousand, two hundred sixteen".