10048608810 has 48 divisors (see below), whose sum is σ = 26196514344. Its totient is φ = 2672436096.

The previous prime is 10048608809. The next prime is 10048608821. The reversal of 10048608810 is 1880684001.

10048608810 is a `hidden beast` number, since 1 + 0 + 0 + 48 + 608 + 8 + 1 + 0 = 666.

10048608810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5375382489 + 4673226321 = 73317^2 + 68361^2 .

It is a super-2 number, since 2×10048608810² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116097 + ... + 183236.

Almost surely, 2^10048608810 is an apocalyptic number.

10048608810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10048608810 is an abundant number, since it is smaller than the sum of its proper divisors (16147905534).

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

10048608810 is a wasteful number, since it uses less digits than its factorization.

10048608810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299719 (or 299716 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10048608810 in words is "ten billion, forty-eight million, six hundred eight thousand, eight hundred ten".