10505855808 has 168 divisors, whose sum is σ = 34830763968. Its totient is φ = 2965413888.

The previous prime is 10505855807. The next prime is 10505855819. The reversal of 10505855808 is 80855850501.

It is a happy number.

10505855808 is a `hidden beast` number, since 10 + 5 + 0 + 58 + 5 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10505855808² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505855807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318960 + ... + 350352.

It is an arithmetic number, because the mean of its divisors is an integer number (207325976).

Almost surely, 2^10505855808 is an apocalyptic number.

10505855808 is a gapful number since it is divisible by the number (18) 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 10505855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415381984).

10505855808 is an abundant number, since it is smaller than the sum of its proper divisors (24324908160).

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

10505855808 is a wasteful number, since it uses less digits than its factorization.

10505855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31501 (or 31488 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 45.

The spelling of 10505855808 in words is "ten billion, five hundred five million, eight hundred fifty-five thousand, eight hundred eight".