81960227474112 has 672 divisors, whose sum is σ = 271573183365120. Its totient is φ = 23419938447360.

The previous prime is 81960227474057. The next prime is 81960227474183. The reversal of 81960227474112 is 21147472206918.

It is a happy number.

81960227474112 is a `hidden beast` number, since 8 + 1 + 9 + 602 + 27 + 4 + 7 + 4 + 1 + 1 + 2 = 666.

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, 10006127937 + ... + 10006136127.

It is an arithmetic number, because the mean of its divisors is an integer number (404126760960).

Almost surely, 2^{81960227474112} 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 81960227474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135786591682560).

81960227474112 is an abundant number, since it is smaller than the sum of its proper divisors (189612955891008).

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

81960227474112 is a wasteful number, since it uses less digits than its factorization.

81960227474112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 81960227474112 in words is "eighty-one trillion, nine hundred sixty billion, two hundred twenty-seven million, four hundred seventy-four thousand, one hundred twelve".