83121576340 has 96 divisors (see below), whose sum is σ = 198812952576. Its totient is φ = 28895898240.

The previous prime is 83121576311. The next prime is 83121576383. The reversal of 83121576340 is 4367512138.

It is a junction number, because it is equal to n+sod(n) for n = 83121576293 and 83121576302.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12661899 + ... + 12668461.

It is an arithmetic number, because the mean of its divisors is an integer number (2070968256).

Almost surely, 2^83121576340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83121576340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99406476288).

83121576340 is an abundant number, since it is smaller than the sum of its proper divisors (115691376236).

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

83121576340 is a wasteful number, since it uses less digits than its factorization.

83121576340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 83121576340 in words is "eighty-three billion, one hundred twenty-one million, five hundred seventy-six thousand, three hundred forty".