16583416120 has 64 divisors (see below), whose sum is σ = 38551518720. Its totient is φ = 6416129664.

The previous prime is 16583416081. The next prime is 16583416133. The reversal of 16583416120 is 2161438561.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16583416120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130357 + ... + 223963.

It is an arithmetic number, because the mean of its divisors is an integer number (602367480).

Almost surely, 2^16583416120 is an apocalyptic number.

16583416120 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 16583416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275759360).

16583416120 is an abundant number, since it is smaller than the sum of its proper divisors (21968102600).

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

16583416120 is a wasteful number, since it uses less digits than its factorization.

16583416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93764 (or 93760 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 16583416120 in words is "sixteen billion, five hundred eighty-three million, four hundred sixteen thousand, one hundred twenty".