80241688080 has 60 divisors (see below), whose sum is σ = 269478338220. Its totient is φ = 21397783296.

The previous prime is 80241687871. The next prime is 80241688103. The reversal of 80241688080 is 8088614208.

It is a happy number.

80241688080 is a `hidden beast` number, since 80 + 2 + 416 + 8 + 80 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38782212624 + 41459475456 = 196932^2 + 203616^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×80241688080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55722675 + ... + 55724114.

It is an arithmetic number, because the mean of its divisors is an integer number (4491305637).

Almost surely, 2^80241688080 is an apocalyptic number.

80241688080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80241688080 is an abundant number, since it is smaller than the sum of its proper divisors (189236650140).

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

80241688080 is a wasteful number, since it uses less digits than its factorization.

80241688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111446808 (or 111446799 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 80241688080 in words is "eighty billion, two hundred forty-one million, six hundred eighty-eight thousand, eighty".