82594055049528 has 64 divisors (see below), whose sum is σ = 230495037379200. Its totient is φ = 24446443351680.

The previous prime is 82594055049481. The next prime is 82594055049529.

82594055049528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82594055049529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3637852243 + ... + 3637874946.

It is an arithmetic number, because the mean of its divisors is an integer number (3601484959050).

Almost surely, 2^{82594055049528} is an apocalyptic number.

82594055049528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82594055049528 is an abundant number, since it is smaller than the sum of its proper divisors (147900982329672).

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

82594055049528 is a wasteful number, since it uses less digits than its factorization.

82594055049528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275727252 (or 7275727248 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 66.

The spelling of 82594055049528 in words is "eighty-two trillion, five hundred ninety-four billion, fifty-five million, forty-nine thousand, five hundred twenty-eight".