11660431749120 has 3744 divisors, whose sum is σ = 55715994547200. Its totient is φ = 2317601341440.

The previous prime is 11660431749101. The next prime is 11660431749223. The reversal of 11660431749120 is 2194713406611.

11660431749120 is a `hidden beast` number, since 1 + 1 + 6 + 60 + 431 + 74 + 91 + 2 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 506975293429 + ... + 506975293451.

It is an arithmetic number, because the mean of its divisors is an integer number (14881408800).

Almost surely, 2^{11660431749120} is an apocalyptic number.

11660431749120 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 11660431749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857997273600).

11660431749120 is an abundant number, since it is smaller than the sum of its proper divisors (44055562798080).

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

11660431749120 is an frugal number, since it uses more digits than its factorization.

11660431749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11660431749120 in words is "eleven trillion, six hundred sixty billion, four hundred thirty-one million, seven hundred forty-nine thousand, one hundred twenty".