82588000650 has 96 divisors (see below), whose sum is σ = 208550038848. Its totient is φ = 21623500800.

The previous prime is 82588000633. The next prime is 82588000673. The reversal of 82588000650 is 5600088528.

It is a Curzon 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, 5271729 + ... + 5287371.

It is an arithmetic number, because the mean of its divisors is an integer number (2172396238).

Almost surely, 2^82588000650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82588000650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104275019424).

82588000650 is an abundant number, since it is smaller than the sum of its proper divisors (125962038198).

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

82588000650 is a wasteful number, since it uses less digits than its factorization.

82588000650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16296 (or 16291 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 82588000650 in words is "eighty-two billion, five hundred eighty-eight million, six hundred fifty", and thus it is an aban number.