10038260268 has 72 divisors (see below), whose sum is σ = 25509360240. Its totient is φ = 3328358400.

The previous prime is 10038260209. The next prime is 10038260269. The reversal of 10038260268 is 86206283001.

10038260268 is a `hidden beast` number, since 10 + 0 + 38 + 2 + 602 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10038260269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6740868 + ... + 6742356.

It is an arithmetic number, because the mean of its divisors is an integer number (354296670).

Almost surely, 2^10038260268 is an apocalyptic number.

10038260268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10038260268 is an abundant number, since it is smaller than the sum of its proper divisors (15471099972).

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

10038260268 is a wasteful number, since it uses less digits than its factorization.

10038260268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10038260268 in words is "ten billion, thirty-eight million, two hundred sixty thousand, two hundred sixty-eight".