80267005728 has 336 divisors, whose sum is σ = 291614008896. Its totient is φ = 21168760320.

The previous prime is 80267005717. The next prime is 80267005787. The reversal of 80267005728 is 82750076208.

80267005728 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 70 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2103943 + ... + 2141753.

It is an arithmetic number, because the mean of its divisors is an integer number (867898836).

Almost surely, 2^80267005728 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 80267005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145807004448).

80267005728 is an abundant number, since it is smaller than the sum of its proper divisors (211347003168).

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

80267005728 is a wasteful number, since it uses less digits than its factorization.

80267005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37859 (or 37836 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 80267005728 in words is "eighty billion, two hundred sixty-seven million, five thousand, seven hundred twenty-eight".