82517760000 has 1440 divisors, whose sum is σ = 349242894000. Its totient is φ = 18579456000.

The previous prime is 82517759999. The next prime is 82517760007. The reversal of 82517760000 is 6771528.

82517760000 is a `hidden beast` number, since 82 + 517 + 7 + 60 + 0 + 0 + 0 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82517760007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2845439986 + ... + 2845440014.

Almost surely, 2^82517760000 is an apocalyptic number.

82517760000 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 82517760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174621447000).

82517760000 is an abundant number, since it is smaller than the sum of its proper divisors (266725134000).

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

82517760000 is a wasteful number, since it uses less digits than its factorization.

82517760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 82517760000 in words is "eighty-two billion, five hundred seventeen million, seven hundred sixty thousand".