81440510467680 has 1152 divisors, whose sum is σ = 344161401292800. Its totient is φ = 17077200814080.

The previous prime is 81440510467661. The next prime is 81440510467733. The reversal of 81440510467680 is 8676401504418.

81440510467680 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 0 + 510 + 4 + 67 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40497517875 + ... + 40497519885.

It is an arithmetic number, because the mean of its divisors is an integer number (298751216400).

Almost surely, 2^{81440510467680} is an apocalyptic number.

81440510467680 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 81440510467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172080700646400).

81440510467680 is an abundant number, since it is smaller than the sum of its proper divisors (262720890825120).

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

81440510467680 is a wasteful number, since it uses less digits than its factorization.

81440510467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 81440510467680 in words is "eighty-one trillion, four hundred forty billion, five hundred ten million, four hundred sixty-seven thousand, six hundred eighty".