11705960840 has 384 divisors, whose sum is σ = 33535918080. Its totient is φ = 3657830400.

The previous prime is 11705960831. The next prime is 11705960843. The reversal of 11705960840 is 4806950711.

11705960840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11705960840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (11705960843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92172857 + ... + 92172983.

It is an arithmetic number, because the mean of its divisors is an integer number (87333120).

Almost surely, 2^11705960840 is an apocalyptic number.

11705960840 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 11705960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767959040).

11705960840 is an abundant number, since it is smaller than the sum of its proper divisors (21829957240).

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

11705960840 is a wasteful number, since it uses less digits than its factorization.

11705960840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 11705960840 in words is "eleven billion, seven hundred five million, nine hundred sixty thousand, eight hundred forty".