83140279616856 has 192 divisors, whose sum is σ = 264147752453760. Its totient is φ = 21563623872000.

The previous prime is 83140279616833. The next prime is 83140279616881. The reversal of 83140279616856 is 65861697204138.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4288236 + ... + 13589316.

It is an arithmetic number, because the mean of its divisors is an integer number (1375769544030).

It is a 1-persistent number, because it is pandigital, but 2⋅83140279616856 = 166280559233712 is not.

Almost surely, 2^{83140279616856} 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 83140279616856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132073876226880).

83140279616856 is an abundant number, since it is smaller than the sum of its proper divisors (181007472836904).

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

83140279616856 is a wasteful number, since it uses less digits than its factorization.

83140279616856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301806 (or 9301795 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 83140279616856 in words is "eighty-three trillion, one hundred forty billion, two hundred seventy-nine million, six hundred sixteen thousand, eight hundred fifty-six".