82791114588 has 432 divisors, whose sum is σ = 276224510016. Its totient is φ = 20400906240.

The previous prime is 82791114563. The next prime is 82791114589. The reversal of 82791114588 is 88541119728.

82791114588 is a `hidden beast` number, since 8 + 2 + 79 + 111 + 458 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82791114589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125250978 + ... + 125251638.

It is an arithmetic number, because the mean of its divisors is an integer number (639408588).

Almost surely, 2^82791114588 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 82791114588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138112255008).

82791114588 is an abundant number, since it is smaller than the sum of its proper divisors (193433395428).

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

82791114588 is a wasteful number, since it uses less digits than its factorization.

82791114588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 876 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 82791114588 in words is "eighty-two billion, seven hundred ninety-one million, one hundred fourteen thousand, five hundred eighty-eight".