10503566040 has 128 divisors (see below), whose sum is σ = 34603614720. Its totient is φ = 2529408000.

The previous prime is 10503565993. The next prime is 10503566069. The reversal of 10503566040 is 4066530501.

10503566040 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 2×10503566040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10503565989 and 10503566007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 172972 + ... + 225668.

It is an arithmetic number, because the mean of its divisors is an integer number (270340740).

Almost surely, 2^10503566040 is an apocalyptic number.

10503566040 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 10503566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301807360).

10503566040 is an abundant number, since it is smaller than the sum of its proper divisors (24100048680).

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

10503566040 is a wasteful number, since it uses less digits than its factorization.

10503566040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52873 (or 52869 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10503566040 in words is "ten billion, five hundred three million, five hundred sixty-six thousand, forty".