81567984960 has 1568 divisors, whose sum is σ = 383784652800. Its totient is φ = 15989944320.

The previous prime is 81567984959. The next prime is 81567984997. The reversal of 81567984960 is 6948976518.

81567984960 is a `hidden beast` number, since 8 + 1 + 56 + 7 + 98 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 341288521 + ... + 341288759.

Almost surely, 2^81567984960 is an apocalyptic number.

81567984960 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 81567984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191892326400).

81567984960 is an abundant number, since it is smaller than the sum of its proper divisors (302216667840).

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

81567984960 is a wasteful number, since it uses less digits than its factorization.

81567984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 81567984960 in words is "eighty-one billion, five hundred sixty-seven million, nine hundred eighty-four thousand, nine hundred sixty".