82542645504 has 324 divisors, whose sum is σ = 270059951616. Its totient is φ = 24203520000.

The previous prime is 82542645481. The next prime is 82542645533. The reversal of 82542645504 is 40554624528.

82542645504 is a `hidden beast` number, since 82 + 5 + 4 + 2 + 64 + 5 + 504 = 666.

It is a super-2 number, since 2×82542645504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82542645504.

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 35 ways as a sum of consecutive naturals, for example, 8637529 + ... + 8647079.

Almost surely, 2^82542645504 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 82542645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135029975808).

82542645504 is an abundant number, since it is smaller than the sum of its proper divisors (187517306112).

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

82542645504 is a wasteful number, since it uses less digits than its factorization.

82542645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 82542645504 in words is "eighty-two billion, five hundred forty-two million, six hundred forty-five thousand, five hundred four".