10586668900 has 36 divisors (see below), whose sum is σ = 24182184880. Its totient is φ = 4011789600.

The previous prime is 10586668891. The next prime is 10586668901. The reversal of 10586668900 is 986668501.

It is a super-2 number, since 2×10586668900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10586668901) by changing a digit.

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, 2784066 + ... + 2787865.

Almost surely, 2^10586668900 is an apocalyptic number.

10586668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10586668900 is an abundant number, since it is smaller than the sum of its proper divisors (13595515980).

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

10586668900 is a wasteful number, since it uses less digits than its factorization.

10586668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571964 (or 5571957 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 10586668900 in words is "ten billion, five hundred eighty-six million, six hundred sixty-eight thousand, nine hundred".