11221164875700 has 540 divisors, whose sum is σ = 41704882162020. Its totient is φ = 2599649095680.

The previous prime is 11221164875639. The next prime is 11221164875719. The reversal of 11221164875700 is 757846112211.

11221164875700 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 11 + 64 + 8 + 7 + 570 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 10525378672656 + 695786203044 = 3244284^2 + 834138^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23030206 + ... + 23512394.

It is an arithmetic number, because the mean of its divisors is an integer number (77231263263).

Almost surely, 2^{11221164875700} is an apocalyptic number.

11221164875700 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 11221164875700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852441081010).

11221164875700 is an abundant number, since it is smaller than the sum of its proper divisors (30483717286320).

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

11221164875700 is a wasteful number, since it uses less digits than its factorization.

11221164875700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482258 (or 482229 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11221164875700 in words is "eleven trillion, two hundred twenty-one billion, one hundred sixty-four million, eight hundred seventy-five thousand, seven hundred".