83530219520 has 144 divisors (see below), whose sum is σ = 218715342048. Its totient is φ = 30372003840.

The previous prime is 83530219519. The next prime is 83530219523. The reversal of 83530219520 is 2591203538.

It is not an unprimeable number, because it can be changed into a prime (83530219523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7203167 + ... + 7214753.

It is an arithmetic number, because the mean of its divisors is an integer number (1518856542).

Almost surely, 2^83530219520 is an apocalyptic number.

83530219520 is a gapful number since it is divisible by the number (80) 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 83530219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109357671024).

83530219520 is an abundant number, since it is smaller than the sum of its proper divisors (135185122528).

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

83530219520 is an equidigital number, since it uses as much as digits as its factorization.

83530219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 83530219520 in words is "eighty-three billion, five hundred thirty million, two hundred nineteen thousand, five hundred twenty".