82013783040 has 1232 divisors, whose sum is σ = 349674238848. Its totient is φ = 18059231232.

The previous prime is 82013783023. The next prime is 82013783041. The reversal of 82013783040 is 4038731028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82013782986 and 82013783004.

It is not an unprimeable number, because it can be changed into a prime (82013783041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1123476444 + ... + 1123476516.

Almost surely, 2^82013783040 is an apocalyptic number.

82013783040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82013783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174837119424).

82013783040 is an abundant number, since it is smaller than the sum of its proper divisors (267660455808).

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

82013783040 is an equidigital number, since it uses as much as digits as its factorization.

82013783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82013783040 in words is "eighty-two billion, thirteen million, seven hundred eighty-three thousand, forty".