81660080130048 has 720 divisors, whose sum is σ = 291404567514060. Its totient is φ = 22700788088832.

The previous prime is 81660080130023. The next prime is 81660080130143. The reversal of 81660080130048 is 84003108006618.

It is a happy number.

81660080130048 is a `hidden beast` number, since 8 + 1 + 6 + 600 + 8 + 0 + 1 + 30 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80953350718464 + 706729411584 = 8997408^2 + 840672^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81660080129985 and 81660080130012.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 300619186 + ... + 300890702.

Almost surely, 2^{81660080130048} 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 81660080130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145702283757030).

81660080130048 is an abundant number, since it is smaller than the sum of its proper divisors (209744487384012).

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

81660080130048 is a wasteful number, since it uses less digits than its factorization.

81660080130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271602 (or 271566 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 81660080130048 in words is "eighty-one trillion, six hundred sixty billion, eighty million, one hundred thirty thousand, forty-eight".