81382060032 has 624 divisors, whose sum is σ = 280177021152. Its totient is φ = 20808990720.

The previous prime is 81382059953. The next prime is 81382060049. The reversal of 81382060032 is 23006028318.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 81382059975 and 81382060002.

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 47 ways as a sum of consecutive naturals, for example, 289615732 + ... + 289616012.

Almost surely, 2^81382060032 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 81382060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140088510576).

81382060032 is an abundant number, since it is smaller than the sum of its proper divisors (198794961120).

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

81382060032 is a wasteful number, since it uses less digits than its factorization.

81382060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 81382060032 in words is "eighty-one billion, three hundred eighty-two million, sixty thousand, thirty-two".