10545440000 has 180 divisors, whose sum is σ = 27858148164. Its totient is φ = 3969024000.

The previous prime is 10545439991. The next prime is 10545440011. The reversal of 10545440000 is 4454501.

It can be written as a sum of positive squares in 10 ways, for example, as 7933821184 + 2611618816 = 89072^2 + 51104^2 .

It is a super-2 number, since 2×10545440000² (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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2718062 + ... + 2721938.

Almost surely, 2^10545440000 is an apocalyptic number.

10545440000 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 10545440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929074082).

10545440000 is an abundant number, since it is smaller than the sum of its proper divisors (17312708164).

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

10545440000 is an frugal number, since it uses more digits than its factorization.

10545440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 10545440000 its reverse (4454501), we get a palindrome (10549894501).

The spelling of 10545440000 in words is "ten billion, five hundred forty-five million, four hundred forty thousand".