10000486400 has 156 divisors (see below), whose sum is σ = 25220449404. Its totient is φ = 3932160000.

The previous prime is 10000486399. The next prime is 10000486409. The reversal of 10000486400 is 468400001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 58003456 + 9942482944 = 7616^2 + 99712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000486409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6245600 + ... + 6247200.

Almost surely, 2^10000486400 is an apocalyptic number.

10000486400 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 10000486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610224702).

10000486400 is an abundant number, since it is smaller than the sum of its proper divisors (15219963004).

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

10000486400 is an equidigital number, since it uses as much as digits as its factorization.

10000486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10000486400 its reverse (468400001), we get a palindrome (10468886401).

The spelling of 10000486400 in words is "ten billion, four hundred eighty-six thousand, four hundred".