11709144720 has 720 divisors, whose sum is σ = 49700926080. Its totient is φ = 2418204672.

The previous prime is 11709144709. The next prime is 11709144737. The reversal of 11709144720 is 2744190711.

11709144720 is a `hidden beast` number, since 1 + 170 + 9 + 14 + 472 + 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 (36).

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, 50253724 + ... + 50253956.

It is an arithmetic number, because the mean of its divisors is an integer number (69029064).

Almost surely, 2^11709144720 is an apocalyptic number.

11709144720 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 11709144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24850463040).

11709144720 is an abundant number, since it is smaller than the sum of its proper divisors (37991781360).

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

11709144720 is a wasteful number, since it uses less digits than its factorization.

11709144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11709144720 in words is "eleven billion, seven hundred nine million, one hundred forty-four thousand, seven hundred twenty".