82014316560 has 160 divisors (see below), whose sum is σ = 308175096960. Its totient is φ = 19882252800.

The previous prime is 82014316529. The next prime is 82014316567. The reversal of 82014316560 is 6561341028.

It is a happy number.

82014316560 is a `hidden beast` number, since 82 + 0 + 1 + 4 + 3 + 16 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82014316567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702131 + ... + 1749650.

It is an arithmetic number, because the mean of its divisors is an integer number (1926094356).

Almost surely, 2^82014316560 is an apocalyptic number.

82014316560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82014316560 is an abundant number, since it is smaller than the sum of its proper divisors (226160780400).

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

82014316560 is a wasteful number, since it uses less digits than its factorization.

82014316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451814 (or 3451802 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 82014316560 its reverse (6561341028), we get a palindrome (88575657588).

The spelling of 82014316560 in words is "eighty-two billion, fourteen million, three hundred sixteen thousand, five hundred sixty".