83321662311840 has 192 divisors, whose sum is σ = 273891571623936. Its totient is φ = 21251750986752.

The previous prime is 83321662311827. The next prime is 83321662311887. The reversal of 83321662311840 is 4811326612338.

83321662311840 is digitally balanced in base 5, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83321662311840.

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 31 ways as a sum of consecutive naturals, for example, 185501607 + ... + 185950233.

It is an arithmetic number, because the mean of its divisors is an integer number (1426518602208).

Almost surely, 2^{83321662311840} is an apocalyptic number.

83321662311840 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 83321662311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136945785811968).

83321662311840 is an abundant number, since it is smaller than the sum of its proper divisors (190569909312096).

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

83321662311840 is a wasteful number, since it uses less digits than its factorization.

83321662311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465491 (or 465483 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 83321662311840 in words is "eighty-three trillion, three hundred twenty-one billion, six hundred sixty-two million, three hundred eleven thousand, eight hundred forty".