80268432935040 has 1408 divisors, whose sum is σ = 340331194598400. Its totient is φ = 17712719732736.

The previous prime is 80268432935017. The next prime is 80268432935059. The reversal of 80268432935040 is 4053923486208.

80268432935040 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 8 + 43 + 2 + 93 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 175 ways as a sum of consecutive naturals, for example, 7671640849 + ... + 7671651311.

Almost surely, 2^{80268432935040} is an apocalyptic number.

80268432935040 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 80268432935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170165597299200).

80268432935040 is an abundant number, since it is smaller than the sum of its proper divisors (260062761663360).

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

80268432935040 is an equidigital number, since it uses as much as digits as its factorization.

80268432935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 80268432935040 in words is "eighty trillion, two hundred sixty-eight billion, four hundred thirty-two million, nine hundred thirty-five thousand, forty".