10540502304 has 96 divisors (see below), whose sum is σ = 27991656000. Its totient is φ = 3472671744.

The previous prime is 10540502303. The next prime is 10540502311. The reversal of 10540502304 is 40320504501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10540502304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10540502303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5325187 + ... + 5327165.

It is an arithmetic number, because the mean of its divisors is an integer number (291579750).

Almost surely, 2^10540502304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995828000).

10540502304 is an abundant number, since it is smaller than the sum of its proper divisors (17451153696).

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

10540502304 is a wasteful number, since it uses less digits than its factorization.

10540502304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 10540502304 in words is "ten billion, five hundred forty million, five hundred two thousand, three hundred four".