82525731840 has 264 divisors, whose sum is σ = 291353407488. Its totient is φ = 21590999040.

The previous prime is 82525731833. The next prime is 82525731859. The reversal of 82525731840 is 4813752528.

82525731840 is a `hidden beast` number, since 8 + 2 + 525 + 73 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2425345 + ... + 2459135.

It is an arithmetic number, because the mean of its divisors is an integer number (1103611392).

Almost surely, 2^82525731840 is an apocalyptic number.

82525731840 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 82525731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145676703744).

82525731840 is an abundant number, since it is smaller than the sum of its proper divisors (208827675648).

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

82525731840 is a wasteful number, since it uses less digits than its factorization.

82525731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33875 (or 33854 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82525731840 in words is "eighty-two billion, five hundred twenty-five million, seven hundred thirty-one thousand, eight hundred forty".