80435115093760 has 576 divisors, whose sum is σ = 234428875591680. Its totient is φ = 25846565437440.

The previous prime is 80435115093719. The next prime is 80435115093859. The reversal of 80435115093760 is 6739051153408.

It is a junction number, because it is equal to n+sod(n) for n = 80435115093698 and 80435115093707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3306129276 + ... + 3306153604.

It is an arithmetic number, because the mean of its divisors is an integer number (406994575680).

Almost surely, 2^{80435115093760} is an apocalyptic number.

80435115093760 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 80435115093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117214437795840).

80435115093760 is an abundant number, since it is smaller than the sum of its proper divisors (153993760497920).

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

80435115093760 is a wasteful number, since it uses less digits than its factorization.

80435115093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24704 (or 24690 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 80435115093760 in words is "eighty trillion, four hundred thirty-five billion, one hundred fifteen million, ninety-three thousand, seven hundred sixty".