80801197632288 has 1152 divisors, whose sum is σ = 284940023961600. Its totient is φ = 22193885952000.

The previous prime is 80801197632283. The next prime is 80801197632317. The reversal of 80801197632288 is 88223679110808.

80801197632288 is a `hidden beast` number, since 80 + 80 + 1 + 19 + 76 + 322 + 88 = 666.

It is a super-2 number, since 2×80801197632288² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (80801197632283) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49908089143 + ... + 49908090761.

It is an arithmetic number, because the mean of its divisors is an integer number (247343770800).

Almost surely, 2^{80801197632288} 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 80801197632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142470011980800).

80801197632288 is an abundant number, since it is smaller than the sum of its proper divisors (204138826329312).

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

80801197632288 is a wasteful number, since it uses less digits than its factorization.

80801197632288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 80801197632288 in words is "eighty trillion, eight hundred one billion, one hundred ninety-seven million, six hundred thirty-two thousand, two hundred eighty-eight".