82814727912 has 192 divisors, whose sum is σ = 251866091520. Its totient is φ = 22582530432.

The previous prime is 82814727887. The next prime is 82814727923. The reversal of 82814727912 is 21972741828.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13169233 + ... + 13175519.

It is an arithmetic number, because the mean of its divisors is an integer number (1311802560).

Almost surely, 2^82814727912 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 82814727912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125933045760).

82814727912 is an abundant number, since it is smaller than the sum of its proper divisors (169051363608).

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

82814727912 is a wasteful number, since it uses less digits than its factorization.

82814727912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6809 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The spelling of 82814727912 in words is "eighty-two billion, eight hundred fourteen million, seven hundred twenty-seven thousand, nine hundred twelve".