83797427681856 has 1008 divisors, whose sum is σ = 298131247028160. Its totient is φ = 22372823531520.

The previous prime is 83797427681843. The next prime is 83797427681879. The reversal of 83797427681856 is 65818672479738.

83797427681856 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 7 + 427 + 6 + 8 + 185 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 39212646420 + ... + 39212648556.

It is an arithmetic number, because the mean of its divisors is an integer number (295765126020).

Almost surely, 2^{83797427681856} 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 83797427681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149065623514080).

83797427681856 is an abundant number, since it is smaller than the sum of its proper divisors (214333819346304).

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

83797427681856 is a wasteful number, since it uses less digits than its factorization.

83797427681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3132 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 83797427681856 in words is "eighty-three trillion, seven hundred ninety-seven billion, four hundred twenty-seven million, six hundred eighty-one thousand, eight hundred fifty-six".