80135035344 has 960 divisors, whose sum is σ = 300887408640. Its totient is φ = 20088207360.

The previous prime is 80135035307. The next prime is 80135035361. The reversal of 80135035344 is 44353053108.

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 = 80135035299 and 80135035308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1014367497 + ... + 1014367575.

It is an arithmetic number, because the mean of its divisors is an integer number (313424384).

Almost surely, 2^80135035344 is an apocalyptic number.

80135035344 is a gapful number since it is divisible by the number (84) 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 80135035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150443704320).

80135035344 is an abundant number, since it is smaller than the sum of its proper divisors (220752373296).

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

80135035344 is a wasteful number, since it uses less digits than its factorization.

80135035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 80135035344 in words is "eighty billion, one hundred thirty-five million, thirty-five thousand, three hundred forty-four".