82527946524 has 96 divisors (see below), whose sum is σ = 226409057280. Its totient is φ = 25942593600.

The previous prime is 82527946507. The next prime is 82527946531. The reversal of 82527946524 is 42564972528.

82527946524 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 79 + 46 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57607 + ... + 410334.

It is an arithmetic number, because the mean of its divisors is an integer number (2358427680).

Almost surely, 2^82527946524 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 82527946524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113204528640).

82527946524 is an abundant number, since it is smaller than the sum of its proper divisors (143881110756).

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

82527946524 is a wasteful number, since it uses less digits than its factorization.

82527946524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468048 (or 468040 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 82527946524 in words is "eighty-two billion, five hundred twenty-seven million, nine hundred forty-six thousand, five hundred twenty-four".