10536503040 has 432 divisors, whose sum is σ = 41940819648. Its totient is φ = 2392326144.

The previous prime is 10536503017. The next prime is 10536503053. The reversal of 10536503040 is 4030563501.

10536503040 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 650 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10536503040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536502995 and 10536503013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15563182 + ... + 15563858.

Almost surely, 2^10536503040 is an apocalyptic number.

10536503040 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 10536503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970409824).

10536503040 is an abundant number, since it is smaller than the sum of its proper divisors (31404316608).

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

10536503040 is a wasteful number, since it uses less digits than its factorization.

10536503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10536503040 in words is "ten billion, five hundred thirty-six million, five hundred three thousand, forty".