10585337118 has 32 divisors (see below), whose sum is σ = 21391603200. Its totient is φ = 3491661600.

The previous prime is 10585337117. The next prime is 10585337129. The reversal of 10585337118 is 81173358501.

It is a super-2 number, since 2×10585337118² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10585337118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585337117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600783 + ... + 1607381.

It is an arithmetic number, because the mean of its divisors is an integer number (668487600).

Almost surely, 2^10585337118 is an apocalyptic number.

10585337118 is an abundant number, since it is smaller than the sum of its proper divisors (10806266082).

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

10585337118 is a wasteful number, since it uses less digits than its factorization.

10585337118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 10585337118 in words is "ten billion, five hundred eighty-five million, three hundred thirty-seven thousand, one hundred eighteen".