81210849232896 has 1536 divisors, whose sum is σ = 264959735040000. Its totient is φ = 24495579463680.

The previous prime is 81210849232889. The next prime is 81210849232897. The reversal of 81210849232896 is 69823294801218.

81210849232896 is a `hidden beast` number, since 8 + 1 + 2 + 108 + 492 + 32 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (81210849232897) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 592779921340 + ... + 592779921476.

It is an arithmetic number, because the mean of its divisors is an integer number (172499827500).

Almost surely, 2^{81210849232896} 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 81210849232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132479867520000).

81210849232896 is an abundant number, since it is smaller than the sum of its proper divisors (183748885807104).

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

81210849232896 is a wasteful number, since it uses less digits than its factorization.

81210849232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 81210849232896 in words is "eighty-one trillion, two hundred ten billion, eight hundred forty-nine million, two hundred thirty-two thousand, eight hundred ninety-six".