10535249540 has 24 divisors (see below), whose sum is σ = 22352110872. Its totient is φ = 4170654720.

The previous prime is 10535249539. The next prime is 10535249563. The reversal of 10535249540 is 4594253501.

10535249540 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 4 ways, for example, as 1303498816 + 9231750724 = 36104^2 + 96082^2 .

It is a super-2 number, since 2×10535249540² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535249494 and 10535249503.

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 7 ways as a sum of consecutive naturals, for example, 2713331 + ... + 2717210.

It is an arithmetic number, because the mean of its divisors is an integer number (931337953).

Almost surely, 2^10535249540 is an apocalyptic number.

10535249540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535249540 is an abundant number, since it is smaller than the sum of its proper divisors (11816861332).

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

10535249540 is a wasteful number, since it uses less digits than its factorization.

10535249540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430647 (or 5430645 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10535249540 in words is "ten billion, five hundred thirty-five million, two hundred forty-nine thousand, five hundred forty".