11709125588160 has 3584 divisors, whose sum is σ = 57094234767360. Its totient is φ = 2199137402880.

The previous prime is 11709125588131. The next prime is 11709125588177. The reversal of 11709125588160 is 6188552190711.

11709125588160 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 9 + 1 + 2 + 558 + 81 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11709125588097 and 11709125588106.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 70114524397 + ... + 70114524563.

It is an arithmetic number, because the mean of its divisors is an integer number (15930311040).

Almost surely, 2^{11709125588160} is an apocalyptic number.

11709125588160 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 11709125588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28547117383680).

11709125588160 is an abundant number, since it is smaller than the sum of its proper divisors (45385109179200).

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

11709125588160 is a wasteful number, since it uses less digits than its factorization.

11709125588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 11709125588160 in words is "eleven trillion, seven hundred nine billion, one hundred twenty-five million, five hundred eighty-eight thousand, one hundred sixty".