10940548522500 has 135 divisors (see below), whose sum is σ = 34559599437363. Its totient is φ = 2917347300000.

The previous prime is 10940548522489. The next prime is 10940548522507. The reversal of 10940548522500 is 522584504901.

The square root of 10940548522500 is 3307650.

It is a perfect power (a square), and thus also a powerful number.

10940548522500 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 548 + 52 + 2 + 50 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 857739004164 + 10082809518336 = 926142^2 + 3175344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10940548522507) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 496136475 + ... + 496158525.

Almost surely, 2^{10940548522500} is an apocalyptic number.

10940548522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10940548522500 is the 3307650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940548522500

10940548522500 is an abundant number, since it is smaller than the sum of its proper divisors (23619050914863).

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

10940548522500 is an frugal number, since it uses more digits than its factorization.

10940548522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44132 (or 22061 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10940548522500 in words is "ten trillion, nine hundred forty billion, five hundred forty-eight million, five hundred twenty-two thousand, five hundred".