80516975616 has 660 divisors, whose sum is σ = 305291070216. Its totient is φ = 20901888000.

The previous prime is 80516975603. The next prime is 80516975641. The reversal of 80516975616 is 61657961508.

80516975616 is a `hidden beast` number, since 8 + 0 + 5 + 16 + 9 + 7 + 5 + 616 = 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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44705916 + ... + 44707716.

Almost surely, 2^80516975616 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 80516975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152645535108).

80516975616 is an abundant number, since it is smaller than the sum of its proper divisors (224774094600).

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

80516975616 is a wasteful number, since it uses less digits than its factorization.

80516975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 80516975616 in words is "eighty billion, five hundred sixteen million, nine hundred seventy-five thousand, six hundred sixteen".