10585136000 has 128 divisors (see below), whose sum is σ = 27167512320. Its totient is φ = 4097280000.

The previous prime is 10585135987. The next prime is 10585136011. The reversal of 10585136000 is 63158501.

10585136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10585136000² (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 15 ways as a sum of consecutive naturals, for example, 485330 + ... + 506670.

It is an arithmetic number, because the mean of its divisors is an integer number (212246190).

Almost surely, 2^10585136000 is an apocalyptic number.

10585136000 is a gapful number since it is divisible by the number (10) 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 10585136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583756160).

10585136000 is an abundant number, since it is smaller than the sum of its proper divisors (16582376320).

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

10585136000 is an equidigital number, since it uses as much as digits as its factorization.

10585136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21401 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 10585136000 in words is "ten billion, five hundred eighty-five million, one hundred thirty-six thousand".