11687181765120 has 240 divisors, whose sum is σ = 40482376763400. Its totient is φ = 3116090621952.

The previous prime is 11687181765113. The next prime is 11687181765137. The reversal of 11687181765120 is 2156718178611.

11687181765120 is a `hidden beast` number, since 116 + 8 + 7 + 1 + 8 + 1 + 7 + 6 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10355318049024 + 1331863716096 = 3217968^2 + 1154064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11687181765120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160068462 + ... + 160141458.

Almost surely, 2^{11687181765120} is an apocalyptic number.

11687181765120 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 11687181765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241188381700).

11687181765120 is an abundant number, since it is smaller than the sum of its proper divisors (28795194998280).

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

11687181765120 is an equidigital number, since it uses as much as digits as its factorization.

11687181765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79975 (or 79956 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 11687181765120 in words is "eleven trillion, six hundred eighty-seven billion, one hundred eighty-one million, seven hundred sixty-five thousand, one hundred twenty".