10585474760 has 64 divisors (see below), whose sum is σ = 27229633920. Its totient is φ = 3627993600.

The previous prime is 10585474709. The next prime is 10585474763. The reversal of 10585474760 is 6747458501.

10585474760 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 2×10585474760² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10585474763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1073372 + ... + 1083188.

It is an arithmetic number, because the mean of its divisors is an integer number (425463030).

Almost surely, 2^10585474760 is an apocalyptic number.

10585474760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585474760 is an abundant number, since it is smaller than the sum of its proper divisors (16644159160).

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

10585474760 is a wasteful number, since it uses less digits than its factorization.

10585474760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13686 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 10585474760 in words is "ten billion, five hundred eighty-five million, four hundred seventy-four thousand, seven hundred sixty".