81569096928000 has 1296 divisors, whose sum is σ = 334570437740448. Its totient is φ = 19774098432000.

The previous prime is 81569096927977. The next prime is 81569096928031. The reversal of 81569096928000 is 82969096518.

81569096928000 is a `hidden beast` number, since 8 + 1 + 569 + 0 + 9 + 69 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940852654 + ... + 940939346.

Almost surely, 2^{81569096928000} is an apocalyptic number.

81569096928000 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 81569096928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167285218870224).

81569096928000 is an abundant number, since it is smaller than the sum of its proper divisors (253001340812448).

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

81569096928000 is an equidigital number, since it uses as much as digits as its factorization.

81569096928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86761 (or 86714 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 81569096928000 in words is "eighty-one trillion, five hundred sixty-nine billion, ninety-six million, nine hundred twenty-eight thousand".