11650806961200 has 720 divisors, whose sum is σ = 46052957493504. Its totient is φ = 2699985868800.

The previous prime is 11650806961141. The next prime is 11650806961217. The reversal of 11650806961200 is 216960805611.

11650806961200 is a `hidden beast` number, since 1 + 1 + 6 + 508 + 0 + 69 + 61 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2124893659 + ... + 2124899141.

Almost surely, 2^{11650806961200} is an apocalyptic number.

11650806961200 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 11650806961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026478746752).

11650806961200 is an abundant number, since it is smaller than the sum of its proper divisors (34402150532304).

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

11650806961200 is a wasteful number, since it uses less digits than its factorization.

11650806961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11650806961200 in words is "eleven trillion, six hundred fifty billion, eight hundred six million, nine hundred sixty-one thousand, two hundred".