82867304520 has 1728 divisors, whose sum is σ = 391564368000. Its totient is φ = 15058068480.

The previous prime is 82867304519. The next prime is 82867304537. The reversal of 82867304520 is 2540376828.

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 431 ways as a sum of consecutive naturals, for example, 4361437071 + ... + 4361437089.

It is an arithmetic number, because the mean of its divisors is an integer number (226599750).

Almost surely, 2^82867304520 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 82867304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195782184000).

82867304520 is an abundant number, since it is smaller than the sum of its proper divisors (308697063480).

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

82867304520 is a wasteful number, since it uses less digits than its factorization.

82867304520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 82867304520 in words is "eighty-two billion, eight hundred sixty-seven million, three hundred four thousand, five hundred twenty".