82405051040 has 48 divisors (see below), whose sum is σ = 209657471688. Its totient is φ = 30426479616.

The previous prime is 82405051039. The next prime is 82405051049. The reversal of 82405051040 is 4015050428.

It can be written as a sum of positive squares in 4 ways, for example, as 37476313744 + 44928737296 = 193588^2 + 211964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82405050994 and 82405051012.

It is not an unprimeable number, because it can be changed into a prime (82405051049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19806827 + ... + 19810986.

Almost surely, 2^82405051040 is an apocalyptic number.

82405051040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82405051040 is an abundant number, since it is smaller than the sum of its proper divisors (127252420648).

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

82405051040 is a wasteful number, since it uses less digits than its factorization.

82405051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39617841 (or 39617833 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 82405051040 in words is "eighty-two billion, four hundred five million, fifty-one thousand, forty".