82594879290 has 384 divisors, whose sum is σ = 282873876480. Its totient is φ = 16198963200.

The previous prime is 82594879267. The next prime is 82594879303. The reversal of 82594879290 is 9297849528.

It is a happy number.

82594879290 is a `hidden beast` number, since 82 + 59 + 487 + 9 + 29 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40948362 + ... + 40950378.

It is an arithmetic number, because the mean of its divisors is an integer number (736650720).

Almost surely, 2^82594879290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82594879290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141436938240).

82594879290 is an abundant number, since it is smaller than the sum of its proper divisors (200278997190).

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

82594879290 is a wasteful number, since it uses less digits than its factorization.

82594879290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 82594879290 in words is "eighty-two billion, five hundred ninety-four million, eight hundred seventy-nine thousand, two hundred ninety".