11521040664600 has 192 divisors, whose sum is σ = 39751199510400. Its totient is φ = 3067042803840.

The previous prime is 11521040664583. The next prime is 11521040664659. The reversal of 11521040664600 is 646604012511.

11521040664600 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 0 + 4 + 0 + 6 + 646 + 0 + 0 = 666.

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1352487 + ... + 4987113.

It is an arithmetic number, because the mean of its divisors is an integer number (207037497450).

Almost surely, 2^{11521040664600} is an apocalyptic number.

11521040664600 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 11521040664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875599755200).

11521040664600 is an abundant number, since it is smaller than the sum of its proper divisors (28230158845800).

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

11521040664600 is a wasteful number, since it uses less digits than its factorization.

11521040664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635239 (or 3635224 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11521040664600 in words is "eleven trillion, five hundred twenty-one billion, forty million, six hundred sixty-four thousand, six hundred".