82581901992 has 96 divisors (see below), whose sum is σ = 227663211360. Its totient is φ = 27035856000.

The previous prime is 82581901991. The next prime is 82581902047. The reversal of 82581901992 is 29910918528.

It is not an unprimeable number, because it can be changed into a prime (82581901991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3021267 + ... + 3048477.

It is an arithmetic number, because the mean of its divisors is an integer number (2371491785).

Almost surely, 2^82581901992 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 82581901992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113831605680).

82581901992 is an abundant number, since it is smaller than the sum of its proper divisors (145081309368).

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

82581901992 is a wasteful number, since it uses less digits than its factorization.

82581901992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27975 (or 27968 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 82581901992 in words is "eighty-two billion, five hundred eighty-one million, nine hundred one thousand, nine hundred ninety-two".