81825390072432 has 60 divisors (see below), whose sum is σ = 229001620543800. Its totient is φ = 27274632787584.

The previous prime is 81825390072319. The next prime is 81825390072457. The reversal of 81825390072432 is 23427009352818.

81825390072432 is a `hidden beast` number, since 8 + 1 + 8 + 2 + 5 + 390 + 0 + 7 + 243 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2789194 + ... + 13093142.

It is an arithmetic number, because the mean of its divisors is an integer number (3816693675730).

Almost surely, 2^{81825390072432} is an apocalyptic number.

It is an amenable number.

81825390072432 is an abundant number, since it is smaller than the sum of its proper divisors (147176230471368).

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

81825390072432 is a wasteful number, since it uses less digits than its factorization.

81825390072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359110 (or 10359101 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 81825390072432 in words is "eighty-one trillion, eight hundred twenty-five billion, three hundred ninety million, seventy-two thousand, four hundred thirty-two".