82116015840 has 192 divisors, whose sum is σ = 288279371520. Its totient is φ = 21831068160.

The previous prime is 82116015827. The next prime is 82116015851. The reversal of 82116015840 is 4851061128.

82116015840 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 601 + 5 + 8 + 40 = 666.

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 = 82116015795 and 82116015804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401207 + ... + 1458633.

It is an arithmetic number, because the mean of its divisors is an integer number (1501455060).

Almost surely, 2^82116015840 is an apocalyptic number.

82116015840 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 82116015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144139685760).

82116015840 is an abundant number, since it is smaller than the sum of its proper divisors (206163355680).

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

82116015840 is a wasteful number, since it uses less digits than its factorization.

82116015840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57782 (or 57768 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 82116015840 its reverse (4851061128), we get a palindrome (86967076968).

The spelling of 82116015840 in words is "eighty-two billion, one hundred sixteen million, fifteen thousand, eight hundred forty".