10540004500 has 48 divisors (see below), whose sum is σ = 23363016768. Its totient is φ = 4153063200.

The previous prime is 10540004491. The next prime is 10540004507. The reversal of 10540004500 is 540004501.

10540004500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540004500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540004507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123814 + ... + 190813.

It is an arithmetic number, because the mean of its divisors is an integer number (486729516).

Almost surely, 2^10540004500 is an apocalyptic number.

10540004500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540004500 is an abundant number, since it is smaller than the sum of its proper divisors (12823012268).

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

10540004500 is a wasteful number, since it uses less digits than its factorization.

10540004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314713 (or 314701 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Subtracting from 10540004500 its reverse (540004501), we obtain a palindrome (9999999999).

The spelling of 10540004500 in words is "ten billion, five hundred forty million, four thousand, five hundred".