82926560016 has 120 divisors (see below), whose sum is σ = 233310421344. Its totient is φ = 27495936000.

The previous prime is 82926560011. The next prime is 82926560047. The reversal of 82926560016 is 61006562928.

82926560016 is a `hidden beast` number, since 8 + 2 + 9 + 26 + 5 + 600 + 16 = 666.

It is a super-3 number, since 3×82926560016³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82926560011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25506391 + ... + 25509641.

Almost surely, 2^82926560016 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 82926560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116655210672).

82926560016 is an abundant number, since it is smaller than the sum of its proper divisors (150383861328).

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

82926560016 is a wasteful number, since it uses less digits than its factorization.

82926560016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82926560016 in words is "eighty-two billion, nine hundred twenty-six million, five hundred sixty thousand, sixteen".