10540523503000 has 64 divisors (see below), whose sum is σ = 24667770909600. Its totient is φ = 4215705827200.

The previous prime is 10540523502991. The next prime is 10540523503007. The reversal of 10540523503000 is 30532504501.

It is a super-2 number, since 2×10540523503000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10540523503000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540523503007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7803747 + ... + 9054253.

Almost surely, 2^{10540523503000} is an apocalyptic number.

10540523503000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540523503000 is an abundant number, since it is smaller than the sum of its proper divisors (14127247406600).

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

10540523503000 is a wasteful number, since it uses less digits than its factorization.

10540523503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258957 (or 1258943 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 10540523503000 in words is "ten trillion, five hundred forty billion, five hundred twenty-three million, five hundred three thousand".