80175317040 has 1440 divisors, whose sum is σ = 363199075200. Its totient is φ = 15780151296.

The previous prime is 80175317039. The next prime is 80175317059. The reversal of 80175317040 is 4071357108.

80175317040 is a `hidden beast` number, since 8 + 0 + 17 + 531 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80175316986 and 80175317004.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 709516024 + ... + 709516136.

It is an arithmetic number, because the mean of its divisors is an integer number (252221580).

Almost surely, 2^80175317040 is an apocalyptic number.

80175317040 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 80175317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181599537600).

80175317040 is an abundant number, since it is smaller than the sum of its proper divisors (283023758160).

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

80175317040 is a wasteful number, since it uses less digits than its factorization.

80175317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 80175317040 in words is "eighty billion, one hundred seventy-five million, three hundred seventeen thousand, forty".