83213362496320 has 84 divisors (see below), whose sum is σ = 230503136948100. Its totient is φ = 28530295707648.

The previous prime is 83213362496317. The next prime is 83213362496351. The reversal of 83213362496320 is 2369426331238.

83213362496320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22749923617344 + 60463438878976 = 4769688^2 + 7775824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2653471645 + ... + 2653503004.

Almost surely, 2^{83213362496320} is an apocalyptic number.

83213362496320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83213362496320 is an abundant number, since it is smaller than the sum of its proper divisors (147289774451780).

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

83213362496320 is a wasteful number, since it uses less digits than its factorization.

83213362496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306974680 (or 5306974663 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 83213362496320 in words is "eighty-three trillion, two hundred thirteen billion, three hundred sixty-two million, four hundred ninety-six thousand, three hundred twenty".