82906139811 has 64 divisors (see below), whose sum is σ = 124853944320. Its totient is φ = 48498720000.

The previous prime is 82906139807. The next prime is 82906139843. The reversal of 82906139811 is 11893160928.

It is not a de Polignac number, because 82906139811 - 2² = 82906139807 is a prime.

It is a super-2 number, since 2×82906139811² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82906139851) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 72029086 + ... + 72030236.

It is an arithmetic number, because the mean of its divisors is an integer number (1950842880).

Almost surely, 2^82906139811 is an apocalyptic number.

82906139811 is a deficient number, since it is larger than the sum of its proper divisors (41947804509).

82906139811 is a wasteful number, since it uses less digits than its factorization.

82906139811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 82906139811 in words is "eighty-two billion, nine hundred six million, one hundred thirty-nine thousand, eight hundred eleven".