81075781532160 has 960 divisors, whose sum is σ = 295722641111040. Its totient is φ = 20502801285120.

The previous prime is 81075781532131. The next prime is 81075781532173. The reversal of 81075781532160 is 6123518757018.

81075781532160 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 578 + 1 + 5 + 3 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×81075781532160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81075781532097 and 81075781532106.

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, 7183106037 + ... + 7183117323.

It is an arithmetic number, because the mean of its divisors is an integer number (308044417824).

Almost surely, 2^{81075781532160} is an apocalyptic number.

81075781532160 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 81075781532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147861320555520).

81075781532160 is an abundant number, since it is smaller than the sum of its proper divisors (214646859578880).

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

81075781532160 is a wasteful number, since it uses less digits than its factorization.

81075781532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 81075781532160 in words is "eighty-one trillion, seventy-five billion, seven hundred eighty-one million, five hundred thirty-two thousand, one hundred sixty".