13705070082 has 128 divisors (see below), whose sum is σ = 32524692480. Its totient is φ = 3836764800.

The previous prime is 13705070077. The next prime is 13705070083. The reversal of 13705070082 is 28007050731.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13705070083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6219993 + ... + 6222195.

It is an arithmetic number, because the mean of its divisors is an integer number (254099160).

Almost surely, 2^13705070082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13705070082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262346240).

13705070082 is an abundant number, since it is smaller than the sum of its proper divisors (18819622398).

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

13705070082 is a wasteful number, since it uses less digits than its factorization.

13705070082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 13705070082 in words is "thirteen billion, seven hundred five million, seventy thousand, eighty-two".