80145959712 has 576 divisors, whose sum is σ = 276678291456. Its totient is φ = 19847393280.

The previous prime is 80145959687. The next prime is 80145959717. The reversal of 80145959712 is 21795954108.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (80145959717) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 159335653 + ... + 159336155.

It is an arithmetic number, because the mean of its divisors is an integer number (480344256).

Almost surely, 2^80145959712 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 80145959712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138339145728).

80145959712 is an abundant number, since it is smaller than the sum of its proper divisors (196532331744).

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

80145959712 is a wasteful number, since it uses less digits than its factorization.

80145959712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 80145959712 in words is "eighty billion, one hundred forty-five million, nine hundred fifty-nine thousand, seven hundred twelve".