82139510010 has 16 divisors (see below), whose sum is σ = 197134824096. Its totient is φ = 21903869328.

The previous prime is 82139509999. The next prime is 82139510017. The reversal of 82139510010 is 1001593128.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2737983667 = 82139510010 / (8 + 2 + 1 + 3 + 9 + 5 + 1 + 0 + 0 + 1 + 0).

It is a self number, because there is not a number n which added to its sum of digits gives 82139510010.

It is not an unprimeable number, because it can be changed into a prime (82139510017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368991804 + ... + 1368991863.

It is an arithmetic number, because the mean of its divisors is an integer number (12320926506).

Almost surely, 2^82139510010 is an apocalyptic number.

82139510010 is an abundant number, since it is smaller than the sum of its proper divisors (114995314086).

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

82139510010 is a wasteful number, since it uses less digits than its factorization.

82139510010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737983677.

The product of its (nonzero) digits is 2160, while the sum is 30.

It can be divided in two parts, 821395 and 10010, that added together give a triangular number (831405 = T₁₂₈₉).

The spelling of 82139510010 in words is "eighty-two billion, one hundred thirty-nine million, five hundred ten thousand, ten".