81586585080 has 1536 divisors, whose sum is σ = 380036966400. Its totient is φ = 14631321600.

The previous prime is 81586585033. The next prime is 81586585121. The reversal of 81586585080 is 8058568518.

It is a happy number.

81586585080 is a `hidden beast` number, since 8 + 1 + 5 + 86 + 58 + 508 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 386666175 + ... + 386666385.

It is an arithmetic number, because the mean of its divisors is an integer number (247419900).

Almost surely, 2^81586585080 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 81586585080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190018483200).

81586585080 is an abundant number, since it is smaller than the sum of its proper divisors (298450381320).

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

81586585080 is a wasteful number, since it uses less digits than its factorization.

81586585080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

It can be divided in two parts, 81586 and 585080, that added together give a palindrome (666666).

The spelling of 81586585080 in words is "eighty-one billion, five hundred eighty-six million, five hundred eighty-five thousand, eighty".