82577077528 has 64 divisors (see below), whose sum is σ = 174857162400. Its totient is φ = 36214778880.

The previous prime is 82577077507. The next prime is 82577077529.

82577077528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82577077529) 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 15 ways as a sum of consecutive naturals, for example, 3799300 + ... + 3820972.

Almost surely, 2^82577077528 is an apocalyptic number.

82577077528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82577077528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87428581200).

82577077528 is an abundant number, since it is smaller than the sum of its proper divisors (92280084872).

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

82577077528 is a wasteful number, since it uses less digits than its factorization.

82577077528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23212 (or 23208 counting only the distinct ones).

The product of its (nonzero) digits is 15366400, while the sum is 58.

The spelling of 82577077528 in words is "eighty-two billion, five hundred seventy-seven million, seventy-seven thousand, five hundred twenty-eight".