82766650512 has 320 divisors, whose sum is σ = 275502366720. Its totient is φ = 20824473600.

The previous prime is 82766650511. The next prime is 82766650597. The reversal of 82766650512 is 21505666728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82766650511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9609664 + ... + 9618272.

It is an arithmetic number, because the mean of its divisors is an integer number (860944896).

Almost surely, 2^82766650512 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 82766650512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137751183360).

82766650512 is an abundant number, since it is smaller than the sum of its proper divisors (192735716208).

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

82766650512 is a wasteful number, since it uses less digits than its factorization.

82766650512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 82766650512 in words is "eighty-two billion, seven hundred sixty-six million, six hundred fifty thousand, five hundred twelve".