82706512050 has 90 divisors (see below), whose sum is σ = 229852438893. Its totient is φ = 22050189360.

The previous prime is 82706512037. The next prime is 82706512079. The reversal of 82706512050 is 5021560728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81052381809 + 1654130241 = 284697^2 + 40671^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203355.

It is a junction number, because it is equal to n+sod(n) for n = 82706511996 and 82706512014.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18299691 + ... + 18304209.

Almost surely, 2^82706512050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82706512050

82706512050 is an abundant number, since it is smaller than the sum of its proper divisors (147145926843).

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

82706512050 is an frugal number, since it uses more digits than its factorization.

82706512050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 82706512050 in words is "eighty-two billion, seven hundred six million, five hundred twelve thousand, fifty".