82539959040 has 1440 divisors, whose sum is σ = 377515353600. Its totient is φ = 17069875200.

The previous prime is 82539959009. The next prime is 82539959057. The reversal of 82539959040 is 4095993528.

It is a happy number.

82539959040 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 9 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 391184535 + ... + 391184745.

It is an arithmetic number, because the mean of its divisors is an integer number (262163440).

Almost surely, 2^82539959040 is an apocalyptic number.

82539959040 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 82539959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188757676800).

82539959040 is an abundant number, since it is smaller than the sum of its proper divisors (294975394560).

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

82539959040 is a wasteful number, since it uses less digits than its factorization.

82539959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 82539959040 in words is "eighty-two billion, five hundred thirty-nine million, nine hundred fifty-nine thousand, forty".