82497018240 has 1024 divisors, whose sum is σ = 375401779200. Its totient is φ = 16641884160.

The previous prime is 82497018223. The next prime is 82497018349. The reversal of 82497018240 is 4281079428.

82497018240 is a `hidden beast` number, since 82 + 497 + 0 + 1 + 82 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36165900 + ... + 36168180.

It is an arithmetic number, because the mean of its divisors is an integer number (366603300).

Almost surely, 2^82497018240 is an apocalyptic number.

82497018240 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 82497018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187700889600).

82497018240 is an abundant number, since it is smaller than the sum of its proper divisors (292904760960).

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

82497018240 is a wasteful number, since it uses less digits than its factorization.

82497018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 82497018240 in words is "eighty-two billion, four hundred ninety-seven million, eighteen thousand, two hundred forty".