80581213440 has 1296 divisors, whose sum is σ = 356234860800. Its totient is φ = 16665772032.

The previous prime is 80581213403. The next prime is 80581213451. The reversal of 80581213440 is 4431218508.

80581213440 is a `hidden beast` number, since 8 + 0 + 581 + 2 + 1 + 34 + 40 = 666.

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 = 80581213395 and 80581213404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 579720891 + ... + 579721029.

Almost surely, 2^80581213440 is an apocalyptic number.

80581213440 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 80581213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178117430400).

80581213440 is an abundant number, since it is smaller than the sum of its proper divisors (275653647360).

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

80581213440 is a wasteful number, since it uses less digits than its factorization.

80581213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 80581213440 in words is "eighty billion, five hundred eighty-one million, two hundred thirteen thousand, four hundred forty".