10000260000 has 300 divisors, whose sum is σ = 36757297962. Its totient is φ = 2666304000.

The previous prime is 10000259993. The next prime is 10000260007. The reversal of 10000260000 is 6200001.

It is an interprime number because it is at equal distance from previous prime (10000259993) and next prime (10000260007).

It can be written as a sum of positive squares in 5 ways, for example, as 559417104 + 9440842896 = 23652^2 + 97164^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000260007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1616914 + ... + 1623086.

Almost surely, 2^10000260000 is an apocalyptic number.

10000260000 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 10000260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378648981).

10000260000 is an abundant number, since it is smaller than the sum of its proper divisors (26757037962).

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

10000260000 is an frugal number, since it uses more digits than its factorization.

10000260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10000260000 its reverse (6200001), we get a palindrome (10006460001).

The spelling of 10000260000 in words is "ten billion, two hundred sixty thousand".