80735888437824 has 112 divisors (see below), whose sum is σ = 214511586988160. Its totient is φ = 26798855823360.

The previous prime is 80735888437817. The next prime is 80735888437849. The reversal of 80735888437824 is 42873488853708.

It is a super-2 number, since 2×80735888437824² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186333782 + ... + 1186401834.

It is an arithmetic number, because the mean of its divisors is an integer number (1915282026680).

Almost surely, 2^{80735888437824} 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 80735888437824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107255793494080).

80735888437824 is an abundant number, since it is smaller than the sum of its proper divisors (133775698550336).

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

80735888437824 is a wasteful number, since it uses less digits than its factorization.

80735888437824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93948 (or 93938 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 75.

The spelling of 80735888437824 in words is "eighty trillion, seven hundred thirty-five billion, eight hundred eighty-eight million, four hundred thirty-seven thousand, eight hundred twenty-four".