1166724022500 has 405 divisors, whose sum is σ = 3899807983071. Its totient is φ = 293973624000.

The previous prime is 1166724022487. The next prime is 1166724022589. The reversal of 1166724022500 is 52204276611.

It is a happy number.

The square root of 1166724022500 is 1080150.

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

1166724022500 is a `hidden beast` number, since 1 + 1 + 66 + 72 + 4 + 0 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91471163364 + 1075252859136 = 302442^2 + 1036944^2 .

It is a super-2 number, since 2×1166724022500² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 3078427311 + ... + 3078427689.

Almost surely, 2^{1166724022500} is an apocalyptic number.

1166724022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166724022500 is the 1080150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166724022500

1166724022500 is an abundant number, since it is smaller than the sum of its proper divisors (2733083960571).

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

1166724022500 is an equidigital number, since it uses as much as digits as its factorization.

1166724022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 1166724022500 by its sum of digits (36), we get a square (42002064810000 = 6480900²).

1166724022500 divided by its sum of digits (36) gives a square (32409000625 = 180025²).

The spelling of 1166724022500 in words is "one trillion, one hundred sixty-six billion, seven hundred twenty-four million, twenty-two thousand, five hundred".