10705775000 has 48 divisors (see below), whose sum is σ = 25090112880. Its totient is φ = 4282300000.

The previous prime is 10705774993. The next prime is 10705775039. The reversal of 10705775000 is 57750701.

10705775000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705775000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 189116 + ... + 239115.

It is an arithmetic number, because the mean of its divisors is an integer number (522710685).

Almost surely, 2^10705775000 is an apocalyptic number.

10705775000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705775000 is an abundant number, since it is smaller than the sum of its proper divisors (14384337880).

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

10705775000 is an frugal number, since it uses more digits than its factorization.

10705775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428262 (or 428238 counting only the distinct ones).

The product of its (nonzero) digits is 8575, while the sum is 32.

The spelling of 10705775000 in words is "ten billion, seven hundred five million, seven hundred seventy-five thousand".