10086000400 has 120 divisors (see below), whose sum is σ = 27762598080. Its totient is φ = 3449402880.

The previous prime is 10086000377. The next prime is 10086000403. The reversal of 10086000400 is 400068001.

It is not an unprimeable number, because it can be changed into a prime (10086000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168902 + ... + 1177498.

It is an arithmetic number, because the mean of its divisors is an integer number (231354984).

Almost surely, 2^10086000400 is an apocalyptic number.

10086000400 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 10086000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881299040).

10086000400 is an abundant number, since it is smaller than the sum of its proper divisors (17676597680).

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

10086000400 is a wasteful number, since it uses less digits than its factorization.

10086000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10086000400 its reverse (400068001), we get a palindrome (10486068401).

The spelling of 10086000400 in words is "ten billion, eighty-six million, four hundred", and thus it is an aban number.