80309714582016 has 320 divisors, whose sum is σ = 253968925900800. Its totient is φ = 24982435196928.

The previous prime is 80309714581991. The next prime is 80309714582021. The reversal of 80309714582016 is 61028541790308.

80309714582016 is a `hidden beast` number, since 8 + 0 + 30 + 9 + 7 + 14 + 582 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15316161 + ... + 19879743.

It is an arithmetic number, because the mean of its divisors is an integer number (793652893440).

It is a 1-persistent number, because it is pandigital, but 2⋅80309714582016 = 160619429164032 is not.

Almost surely, 2^{80309714582016} 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 80309714582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126984462950400).

80309714582016 is an abundant number, since it is smaller than the sum of its proper divisors (173659211318784).

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

80309714582016 is a wasteful number, since it uses less digits than its factorization.

80309714582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563696 (or 4563674 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 80309714582016 in words is "eighty trillion, three hundred nine billion, seven hundred fourteen million, five hundred eighty-two thousand, sixteen".