10993522500 has 225 divisors, whose sum is σ = 36067346161. Its totient is φ = 2919024000.

The previous prime is 10993522483. The next prime is 10993522511. The reversal of 10993522500 is 522539901.

It is a happy number.

The square root of 10993522500 is 104850.

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

10993522500 is a `hidden beast` number, since 10 + 9 + 93 + 52 + 2 + 500 = 666.

10993522500 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 7 ways, for example, as 10626723396 + 366799104 = 103086^2 + 19152^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 74 ways as a sum of consecutive naturals, for example, 47182384 + ... + 47182616.

Almost surely, 2^10993522500 is an apocalyptic number.

10993522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10993522500 is the 104850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10993522500

10993522500 is an abundant number, since it is smaller than the sum of its proper divisors (25073823661).

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

10993522500 is an frugal number, since it uses more digits than its factorization.

10993522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Multiplying 10993522500 by its sum of digits (36), we get a square (395766810000 = 629100²).

10993522500 divided by its sum of digits (36) gives a square (305375625 = 17475²).

The spelling of 10993522500 in words is "ten billion, nine hundred ninety-three million, five hundred twenty-two thousand, five hundred".