82712949588 has 72 divisors (see below), whose sum is σ = 214822094760. Its totient is φ = 26814412800.

The previous prime is 82712949559. The next prime is 82712949589. The reversal of 82712949588 is 88594921728.

82712949588 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 2 + 9 + 49 + 588 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37693445904 + 45019503684 = 194148^2 + 212178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82712949589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3463288 + ... + 3487088.

It is an arithmetic number, because the mean of its divisors is an integer number (2983640205).

Almost surely, 2^82712949588 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 82712949588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107411047380).

82712949588 is an abundant number, since it is smaller than the sum of its proper divisors (132109145172).

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

82712949588 is a wasteful number, since it uses less digits than its factorization.

82712949588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26457 (or 26452 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 82712949588 in words is "eighty-two billion, seven hundred twelve million, nine hundred forty-nine thousand, five hundred eighty-eight".