11705828160 has 448 divisors, whose sum is σ = 41948282880. Its totient is φ = 2745999360.

The previous prime is 11705828119. The next prime is 11705828179. The reversal of 11705828160 is 6182850711.

It is a super-2 number, since 2×11705828160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30563329 + ... + 30563711.

It is an arithmetic number, because the mean of its divisors is an integer number (93634560).

Almost surely, 2^11705828160 is an apocalyptic number.

11705828160 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 11705828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974141440).

11705828160 is an abundant number, since it is smaller than the sum of its proper divisors (30242454720).

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

11705828160 is a wasteful number, since it uses less digits than its factorization.

11705828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 11705828160 in words is "eleven billion, seven hundred five million, eight hundred twenty-eight thousand, one hundred sixty".