82509371280 has 960 divisors, whose sum is σ = 342690566400. Its totient is φ = 18184642560.

The previous prime is 82509371279. The next prime is 82509371297. The reversal of 82509371280 is 8217390528.

It is a happy number.

82509371280 is a `hidden beast` number, since 8 + 250 + 9 + 371 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455852790 + ... + 455852970.

It is an arithmetic number, because the mean of its divisors is an integer number (356969340).

Almost surely, 2^82509371280 is an apocalyptic number.

82509371280 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 82509371280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171345283200).

82509371280 is an abundant number, since it is smaller than the sum of its proper divisors (260181195120).

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

82509371280 is a wasteful number, since it uses less digits than its factorization.

82509371280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82509371280 in words is "eighty-two billion, five hundred nine million, three hundred seventy-one thousand, two hundred eighty".