11706939810720 has 4608 divisors, whose sum is σ = 57822982963200. Its totient is φ = 2163345408000.

The previous prime is 11706939810707. The next prime is 11706939810757. The reversal of 11706939810720 is 2701893960711.

It is a happy number.

11706939810720 is a `hidden beast` number, since 1 + 1 + 70 + 69 + 398 + 107 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 77529402645 + ... + 77529402795.

It is an arithmetic number, because the mean of its divisors is an integer number (12548390400).

Almost surely, 2^{11706939810720} is an apocalyptic number.

11706939810720 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 11706939810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911491481600).

11706939810720 is an abundant number, since it is smaller than the sum of its proper divisors (46116043152480).

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

11706939810720 is a wasteful number, since it uses less digits than its factorization.

11706939810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 11706939810720 in words is "eleven trillion, seven hundred six billion, nine hundred thirty-nine million, eight hundred ten thousand, seven hundred twenty".