10585268537900 has 36 divisors (see below), whose sum is σ = 26251465975728. Its totient is φ = 3629234927040.

The previous prime is 10585268537891. The next prime is 10585268537929. The reversal of 10585268537900 is 973586258501.

It is a happy number.

It is a super-2 number, since 2×10585268537900² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10585268537900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7560905399 + ... + 7560906798.

Almost surely, 2^{10585268537900} is an apocalyptic number.

10585268537900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585268537900 is an abundant number, since it is smaller than the sum of its proper divisors (15666197437828).

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

10585268537900 is a wasteful number, since it uses less digits than its factorization.

10585268537900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121812218 (or 15121812211 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 59.

The spelling of 10585268537900 in words is "ten trillion, five hundred eighty-five billion, two hundred sixty-eight million, five hundred thirty-seven thousand, nine hundred".