80126568960 has 640 divisors, whose sum is σ = 282131942400. Its totient is φ = 19328532480.

The previous prime is 80126568959. The next prime is 80126568989. The reversal of 80126568960 is 6986562108.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352980367 + ... + 352980593.

It is an arithmetic number, because the mean of its divisors is an integer number (440831160).

Almost surely, 2^80126568960 is an apocalyptic number.

80126568960 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 80126568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141065971200).

80126568960 is an abundant number, since it is smaller than the sum of its proper divisors (202005373440).

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

80126568960 is a wasteful number, since it uses less digits than its factorization.

80126568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 80126568960 in words is "eighty billion, one hundred twenty-six million, five hundred sixty-eight thousand, nine hundred sixty".