10082161664 has 88 divisors (see below), whose sum is σ = 20697626400. Its totient is φ = 4906967040.

The previous prime is 10082161633. The next prime is 10082161673. The reversal of 10082161664 is 46616128001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6584579 + ... + 6586109.

It is an arithmetic number, because the mean of its divisors is an integer number (235200300).

Almost surely, 2^10082161664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348813200).

10082161664 is an abundant number, since it is smaller than the sum of its proper divisors (10615464736).

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

10082161664 is a wasteful number, since it uses less digits than its factorization.

10082161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

Adding to 10082161664 its reverse (46616128001), we get a palindrome (56698289665).

The spelling of 10082161664 in words is "ten billion, eighty-two million, one hundred sixty-one thousand, six hundred sixty-four".