83582919472 has 120 divisors (see below), whose sum is σ = 180340676208. Its totient is φ = 37487923200.

The previous prime is 83582919439. The next prime is 83582919521. The reversal of 83582919472 is 27491928538.

It is a super-2 number, since 2×83582919472² (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 23 ways as a sum of consecutive naturals, for example, 31151443 + ... + 31154125.

Almost surely, 2^83582919472 is an apocalyptic number.

83582919472 is a gapful number since it is divisible by the number (82) 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 83582919472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90170338104).

83582919472 is an abundant number, since it is smaller than the sum of its proper divisors (96757756736).

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

83582919472 is a wasteful number, since it uses less digits than its factorization.

83582919472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3020 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 83582919472 in words is "eighty-three billion, five hundred eighty-two million, nine hundred nineteen thousand, four hundred seventy-two".