83218133542320 has 800 divisors, whose sum is σ = 345777061994496. Its totient is φ = 18148412620800.

The previous prime is 83218133542253. The next prime is 83218133542363. The reversal of 83218133542320 is 2324533181238.

It is a happy number.

83218133542320 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 81 + 3 + 3 + 542 + 3 + 20 = 666.

83218133542320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99420592 + ... + 100254128.

Almost surely, 2^{83218133542320} is an apocalyptic number.

83218133542320 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 83218133542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172888530997248).

83218133542320 is an abundant number, since it is smaller than the sum of its proper divisors (262558928452176).

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

83218133542320 is a wasteful number, since it uses less digits than its factorization.

83218133542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833671 (or 833656 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 83218133542320 in words is "eighty-three trillion, two hundred eighteen billion, one hundred thirty-three million, five hundred forty-two thousand, three hundred twenty".