11521320703200 has 2592 divisors, whose sum is σ = 54466448924160. Its totient is φ = 2309136076800.

The previous prime is 11521320703187. The next prime is 11521320703237. The reversal of 11521320703200 is 230702312511.

11521320703200 is a `hidden beast` number, since 1 + 15 + 2 + 1 + 320 + 7 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 431 ways as a sum of consecutive naturals, for example, 11720569909 + ... + 11720570891.

It is an arithmetic number, because the mean of its divisors is an integer number (21013290480).

Almost surely, 2^{11521320703200} is an apocalyptic number.

11521320703200 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 11521320703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27233224462080).

11521320703200 is an abundant number, since it is smaller than the sum of its proper divisors (42945128220960).

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

11521320703200 is an equidigital number, since it uses as much as digits as its factorization.

11521320703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11521320703200 in words is "eleven trillion, five hundred twenty-one billion, three hundred twenty million, seven hundred three thousand, two hundred".