11866026984100 has 243 divisors, whose sum is σ = 28626502672201. Its totient is φ = 4268133478400.

The previous prime is 11866026984079. The next prime is 11866026984127. The reversal of 11866026984100 is 148962066811.

The square root of 11866026984100 is 3444710.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8239988409444 + 3626038574656 = 2870538^2 + 1904216^2 .

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 13468815660 + ... + 13468816540.

Almost surely, 2^{11866026984100} is an apocalyptic number.

11866026984100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11866026984100 is the 3444710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11866026984100

11866026984100 is an abundant number, since it is smaller than the sum of its proper divisors (16760475688101).

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

11866026984100 is an equidigital number, since it uses as much as digits as its factorization.

11866026984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 11866026984100 in words is "eleven trillion, eight hundred sixty-six billion, twenty-six million, nine hundred eighty-four thousand, one hundred".