82725330240 has 448 divisors, whose sum is σ = 344294277120. Its totient is φ = 18298275840.

The previous prime is 82725330229. The next prime is 82725330353. The reversal of 82725330240 is 4203352728.

82725330240 is a `hidden beast` number, since 82 + 7 + 2 + 5 + 330 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82725330195 and 82725330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1852819 + ... + 1896941.

Almost surely, 2^82725330240 is an apocalyptic number.

82725330240 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 82725330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172147138560).

82725330240 is an abundant number, since it is smaller than the sum of its proper divisors (261568946880).

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

82725330240 is a wasteful number, since it uses less digits than its factorization.

82725330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44187 (or 44171 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 82725330240 its reverse (4203352728), we get a palindrome (86928682968).

The spelling of 82725330240 in words is "eighty-two billion, seven hundred twenty-five million, three hundred thirty thousand, two hundred forty".