82295079504 has 480 divisors, whose sum is σ = 251290583040. Its totient is φ = 23151744000.

The previous prime is 82295079491. The next prime is 82295079511. The reversal of 82295079504 is 40597059228.

It is a super-2 number, since 2×82295079504² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 647992689 + ... + 647992815.

It is an arithmetic number, because the mean of its divisors is an integer number (523522048).

Almost surely, 2^82295079504 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 82295079504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125645291520).

82295079504 is an abundant number, since it is smaller than the sum of its proper divisors (168995503536).

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

82295079504 is a wasteful number, since it uses less digits than its factorization.

82295079504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 82295079504 in words is "eighty-two billion, two hundred ninety-five million, seventy-nine thousand, five hundred four".