10588040900 has 54 divisors (see below), whose sum is σ = 23551095498. Its totient is φ = 4129347200.

The previous prime is 10588040899. The next prime is 10588040923. The reversal of 10588040900 is 904088501.

10588040900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10329796 + 10577711104 = 3214^2 + 102848^2 .

It is a super-2 number, since 2×10588040900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6587897 + ... + 6589503.

Almost surely, 2^10588040900 is an apocalyptic number.

10588040900 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 10588040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775547749).

10588040900 is an abundant number, since it is smaller than the sum of its proper divisors (12963054598).

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

10588040900 is an equidigital number, since it uses as much as digits as its factorization.

10588040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 10588040900 in words is "ten billion, five hundred eighty-eight million, forty thousand, nine hundred".