82405263042 has 48 divisors (see below), whose sum is σ = 179703744480. Its totient is φ = 27290390400.

The previous prime is 82405262963. The next prime is 82405263077. The reversal of 82405263042 is 24036250428.

It is a super-2 number, since 2×82405263042² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82405262988 and 82405263006.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3762042 + ... + 3783882.

It is an arithmetic number, because the mean of its divisors is an integer number (3743828010).

Almost surely, 2^82405263042 is an apocalyptic number.

82405263042 is an abundant number, since it is smaller than the sum of its proper divisors (97298481438).

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

82405263042 is a wasteful number, since it uses less digits than its factorization.

82405263042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23199 (or 23196 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 82405263042 in words is "eighty-two billion, four hundred five million, two hundred sixty-three thousand, forty-two".