10585003860 has 120 divisors (see below), whose sum is σ = 33266609376. Its totient is φ = 2817478080.

The previous prime is 10585003837. The next prime is 10585003951. The reversal of 10585003860 is 6830058501.

10585003860 is a `hidden beast` number, since 10 + 58 + 500 + 38 + 60 = 666.

It is a super-2 number, since 2×10585003860² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 919299 + ... + 930741.

Almost surely, 2^10585003860 is an apocalyptic number.

10585003860 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 10585003860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633304688).

10585003860 is an abundant number, since it is smaller than the sum of its proper divisors (22681605516).

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

10585003860 is a wasteful number, since it uses less digits than its factorization.

10585003860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10585003860 in words is "ten billion, five hundred eighty-five million, three thousand, eight hundred sixty".