11661762425200 has 240 divisors, whose sum is σ = 29898443028960. Its totient is φ = 4363881984000.

The previous prime is 11661762425197. The next prime is 11661762425219. The reversal of 11661762425200 is 252426716611.

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 47 ways as a sum of consecutive naturals, for example, 47286210 + ... + 47532190.

It is an arithmetic number, because the mean of its divisors is an integer number (124576845954).

Almost surely, 2^{11661762425200} is an apocalyptic number.

11661762425200 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 11661762425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949221514480).

11661762425200 is an abundant number, since it is smaller than the sum of its proper divisors (18236680603760).

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

11661762425200 is a wasteful number, since it uses less digits than its factorization.

11661762425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246156 (or 246145 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 11661762425200 in words is "eleven trillion, six hundred sixty-one billion, seven hundred sixty-two million, four hundred twenty-five thousand, two hundred".