80715349866240 has 432 divisors, whose sum is σ = 285970624299360. Its totient is φ = 21008131522560.

The previous prime is 80715349866223. The next prime is 80715349866301. The reversal of 80715349866240 is 4266894351708.

80715349866240 is a `hidden beast` number, since 8 + 0 + 7 + 1 + 534 + 98 + 6 + 6 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684033166 + ... + 684151154.

It is an arithmetic number, because the mean of its divisors is an integer number (661969037730).

It is a 1-persistent number, because it is pandigital, but 2⋅80715349866240 = 161430699732480 is not.

Almost surely, 2^{80715349866240} is an apocalyptic number.

80715349866240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80715349866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142985312149680).

80715349866240 is an abundant number, since it is smaller than the sum of its proper divisors (205255274433120).

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

80715349866240 is a wasteful number, since it uses less digits than its factorization.

80715349866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119440 (or 119423 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 80715349866240 in words is "eighty trillion, seven hundred fifteen billion, three hundred forty-nine million, eight hundred sixty-six thousand, two hundred forty".