10585893900 has 36 divisors (see below), whose sum is σ = 30628520552. Its totient is φ = 2822904960.

The previous prime is 10585893883. The next prime is 10585893943. The reversal of 10585893900 is 939858501.

It is a super-2 number, since 2×10585893900² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) 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 10585893900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17642857 + ... + 17643456.

Almost surely, 2^10585893900 is an apocalyptic number.

10585893900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585893900 is an abundant number, since it is smaller than the sum of its proper divisors (20042626652).

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

10585893900 is a wasteful number, since it uses less digits than its factorization.

10585893900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35286330 (or 35286323 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 10585893900 in words is "ten billion, five hundred eighty-five million, eight hundred ninety-three thousand, nine hundred".