81460692910080 has 1728 divisors, whose sum is σ = 326002880286720. Its totient is φ = 18623338905600.

The previous prime is 81460692910033. The next prime is 81460692910109. The reversal of 81460692910080 is 8001929606418.

81460692910080 is a `hidden beast` number, since 8 + 1 + 4 + 606 + 9 + 29 + 1 + 0 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81460692909999 and 81460692910026.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117888122535 + ... + 117888123225.

It is an arithmetic number, because the mean of its divisors is an integer number (188659074240).

Almost surely, 2^{81460692910080} is an apocalyptic number.

81460692910080 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 81460692910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163001440143360).

81460692910080 is an abundant number, since it is smaller than the sum of its proper divisors (244542187376640).

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

81460692910080 is a wasteful number, since it uses less digits than its factorization.

81460692910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 81460692910080 in words is "eighty-one trillion, four hundred sixty billion, six hundred ninety-two million, nine hundred ten thousand, eighty".