80040813636096 has 480 divisors, whose sum is σ = 238613876783568. Its totient is φ = 25809943265280.

The previous prime is 80040813635989. The next prime is 80040813636131. The reversal of 80040813636096 is 69063631804008.

80040813636096 is a `hidden beast` number, since 80 + 0 + 40 + 81 + 3 + 6 + 360 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79807779590400 + 233034045696 = 8933520^2 + 482736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35213731216 + ... + 35213733488.

Almost surely, 2^{80040813636096} 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 80040813636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119306938391784).

80040813636096 is an abundant number, since it is smaller than the sum of its proper divisors (158573063147472).

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

80040813636096 is a wasteful number, since it uses less digits than its factorization.

80040813636096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 80040813636096 in words is "eighty trillion, forty billion, eight hundred thirteen million, six hundred thirty-six thousand, ninety-six".