83852600505696 has 576 divisors, whose sum is σ = 265837581434880. Its totient is φ = 24859152875520.

The previous prime is 83852600505689. The next prime is 83852600505767. The reversal of 83852600505696 is 69650500625838.

83852600505696 is a `hidden beast` number, since 8 + 3 + 8 + 5 + 2 + 60 + 0 + 5 + 0 + 569 + 6 = 666.

It is a super-2 number, since 2×83852600505696² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 16380657825 + ... + 16380662943.

It is an arithmetic number, because the mean of its divisors is an integer number (461523578880).

Almost surely, 2^{83852600505696} 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 83852600505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132918790717440).

83852600505696 is an abundant number, since it is smaller than the sum of its proper divisors (181984980929184).

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

83852600505696 is a wasteful number, since it uses less digits than its factorization.

83852600505696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 83852600505696 in words is "eighty-three trillion, eight hundred fifty-two billion, six hundred million, five hundred five thousand, six hundred ninety-six".