83528186512 has 80 divisors (see below), whose sum is σ = 173028925440. Its totient is φ = 38924734464.

The previous prime is 83528186491. The next prime is 83528186527. The reversal of 83528186512 is 21568182538.

It is a super-2 number, since 2×83528186512² (a number of 23 digits) contains 22 as substring.

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, 21311689 + ... + 21315607.

It is an arithmetic number, because the mean of its divisors is an integer number (2162861568).

Almost surely, 2^83528186512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83528186512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86514462720).

83528186512 is an abundant number, since it is smaller than the sum of its proper divisors (89500738928).

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

83528186512 is a wasteful number, since it uses less digits than its factorization.

83528186512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4682 counting only the distinct ones).

The product of its digits is 921600, while the sum is 49.

The spelling of 83528186512 in words is "eighty-three billion, five hundred twenty-eight million, one hundred eighty-six thousand, five hundred twelve".