10082001688 has 24 divisors (see below), whose sum is σ = 20778507540. Its totient is φ = 4582727600.

The previous prime is 10082001653. The next prime is 10082001701. The reversal of 10082001688 is 88610028001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5206678 + ... + 5208613.

Almost surely, 2^10082001688 is an apocalyptic number.

It is an amenable number.

10082001688 is an abundant number, since it is smaller than the sum of its proper divisors (10696505852).

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

10082001688 is a wasteful number, since it uses less digits than its factorization.

10082001688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10415319 (or 10415304 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

Adding to 10082001688 its reverse (88610028001), we get a palindrome (98692029689).

The spelling of 10082001688 in words is "ten billion, eighty-two million, one thousand, six hundred eighty-eight".