10004958260 has 48 divisors (see below), whose sum is σ = 22989863232. Its totient is φ = 3627148800.

The previous prime is 10004958253. The next prime is 10004958277. The reversal of 10004958260 is 6285940001.

It is a self number, because there is not a number n which added to its sum of digits gives 10004958260.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4124 + ... + 141516.

It is an arithmetic number, because the mean of its divisors is an integer number (478955484).

Almost surely, 2^10004958260 is an apocalyptic number.

10004958260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004958260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494931616).

10004958260 is an abundant number, since it is smaller than the sum of its proper divisors (12984904972).

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

10004958260 is a wasteful number, since it uses less digits than its factorization.

10004958260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137744 (or 137742 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 10004958260 in words is "ten billion, four million, nine hundred fifty-eight thousand, two hundred sixty".