80682134764896 has 288 divisors, whose sum is σ = 262551914247168. Its totient is φ = 23022608486400.

The previous prime is 80682134764859. The next prime is 80682134764897. The reversal of 80682134764896 is 69846743128608.

80682134764896 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 2 + 134 + 7 + 6 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80682134764897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6699498651 + ... + 6699510693.

It is an arithmetic number, because the mean of its divisors is an integer number (911638591136).

Almost surely, 2^{80682134764896} 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 80682134764896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131275957123584).

80682134764896 is an abundant number, since it is smaller than the sum of its proper divisors (181869779482272).

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

80682134764896 is a wasteful number, since it uses less digits than its factorization.

80682134764896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16034 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 80682134764896 in words is "eighty trillion, six hundred eighty-two billion, one hundred thirty-four million, seven hundred sixty-four thousand, eight hundred ninety-six".