11702568960 has 288 divisors, whose sum is σ = 42070129920. Its totient is φ = 3120021504.

The previous prime is 11702568931. The next prime is 11702568967. The reversal of 11702568960 is 6986520711.

11702568960 is a `hidden beast` number, since 11 + 70 + 2 + 568 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11702568967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485969 + ... + 2490671.

It is an arithmetic number, because the mean of its divisors is an integer number (146076840).

Almost surely, 2^11702568960 is an apocalyptic number.

11702568960 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 11702568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035064960).

11702568960 is an abundant number, since it is smaller than the sum of its proper divisors (30367560960).

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

11702568960 is an frugal number, since it uses more digits than its factorization.

11702568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11702568960 in words is "eleven billion, seven hundred two million, five hundred sixty-eight thousand, nine hundred sixty".