80259911424 has 1080 divisors, whose sum is σ = 312625450368. Its totient is φ = 20239994880.

The previous prime is 80259911363. The next prime is 80259911429. The reversal of 80259911424 is 42411995208.

It is a happy number.

80259911424 is a `hidden beast` number, since 8 + 0 + 2 + 599 + 11 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80259911424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80259911429) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 480598189 + ... + 480598355.

Almost surely, 2^80259911424 is an apocalyptic number.

80259911424 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 80259911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156312725184).

80259911424 is an abundant number, since it is smaller than the sum of its proper divisors (232365538944).

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

80259911424 is a wasteful number, since it uses less digits than its factorization.

80259911424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 80259911424 in words is "eighty billion, two hundred fifty-nine million, nine hundred eleven thousand, four hundred twenty-four".