81120739295232 has 1152 divisors, whose sum is σ = 292053908970720. Its totient is φ = 21243856158720.

The previous prime is 81120739295209. The next prime is 81120739295243. The reversal of 81120739295232 is 23259293702118.

81120739295232 is a `hidden beast` number, since 8 + 1 + 1 + 20 + 7 + 3 + 92 + 9 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 54774299932 + ... + 54774301412.

Almost surely, 2^{81120739295232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81120739295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146026954485360).

81120739295232 is an abundant number, since it is smaller than the sum of its proper divisors (210933169675488).

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

81120739295232 is a wasteful number, since it uses less digits than its factorization.

81120739295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 81120739295232 in words is "eighty-one trillion, one hundred twenty billion, seven hundred thirty-nine million, two hundred ninety-five thousand, two hundred thirty-two".