82527797520 has 240 divisors, whose sum is σ = 317274871680. Its totient is φ = 18832214016.

The previous prime is 82527797503. The next prime is 82527797531. The reversal of 82527797520 is 2579772528.

82527797520 is a `hidden beast` number, since 8 + 2 + 5 + 27 + 7 + 97 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×82527797520⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3096411 + ... + 3122949.

It is an arithmetic number, because the mean of its divisors is an integer number (1321978632).

Almost surely, 2^82527797520 is an apocalyptic number.

82527797520 is a gapful number since it is divisible by the number (80) 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 82527797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158637435840).

82527797520 is an abundant number, since it is smaller than the sum of its proper divisors (234747074160).

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

82527797520 is a wasteful number, since it uses less digits than its factorization.

82527797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182 (or 27173 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 82527797520 in words is "eighty-two billion, five hundred twenty-seven million, seven hundred ninety-seven thousand, five hundred twenty".