80582681088 has 480 divisors, whose sum is σ = 298850872320. Its totient is φ = 21250252800.

The previous prime is 80582681071. The next prime is 80582681111. The reversal of 80582681088 is 88018628508.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8801313 + ... + 8810463.

It is an arithmetic number, because the mean of its divisors is an integer number (622605984).

Almost surely, 2^80582681088 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 80582681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149425436160).

80582681088 is an abundant number, since it is smaller than the sum of its proper divisors (218268191232).

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

80582681088 is a wasteful number, since it uses less digits than its factorization.

80582681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9176 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 80582681088 in words is "eighty billion, five hundred eighty-two million, six hundred eighty-one thousand, eighty-eight".