80132694301296 has 960 divisors, whose sum is σ = 296256238387200. Its totient is φ = 19629470140416.

The previous prime is 80132694301259. The next prime is 80132694301321. The reversal of 80132694301296 is 69210349623108.

80132694301296 is a `hidden beast` number, since 8 + 0 + 1 + 326 + 9 + 4 + 301 + 2 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5626103551 + ... + 5626117793.

It is an arithmetic number, because the mean of its divisors is an integer number (308600248320).

Almost surely, 2^{80132694301296} 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 80132694301296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148128119193600).

80132694301296 is an abundant number, since it is smaller than the sum of its proper divisors (216123544085904).

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

80132694301296 is a wasteful number, since it uses less digits than its factorization.

80132694301296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14738 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 80132694301296 in words is "eighty trillion, one hundred thirty-two billion, six hundred ninety-four million, three hundred one thousand, two hundred ninety-six".