10509509808 has 120 divisors (see below), whose sum is σ = 35091347760. Its totient is φ = 3002711040.

The previous prime is 10509509783. The next prime is 10509509831. The reversal of 10509509808 is 80890590501.

10509509808 is a `hidden beast` number, since 1 + 0 + 509 + 50 + 98 + 0 + 8 = 666.

It is a super-2 number, since 2×10509509808² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227073 + ... + 269408.

It is an arithmetic number, because the mean of its divisors is an integer number (292427898).

Almost surely, 2^10509509808 is an apocalyptic number.

10509509808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10509509808 is an abundant number, since it is smaller than the sum of its proper divisors (24581837952).

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

10509509808 is a wasteful number, since it uses less digits than its factorization.

10509509808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496512 (or 496493 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 10509509808 in words is "ten billion, five hundred nine million, five hundred nine thousand, eight hundred eight".