11930664960 has 640 divisors, whose sum is σ = 45675273600. Its totient is φ = 2972712960.

The previous prime is 11930664917. The next prime is 11930664979. The reversal of 11930664960 is 6946603911.

11930664960 is a `hidden beast` number, since 11 + 93 + 0 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384860145 + ... + 384860175.

It is an arithmetic number, because the mean of its divisors is an integer number (71367615).

Almost surely, 2^11930664960 is an apocalyptic number.

11930664960 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 11930664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837636800).

11930664960 is an abundant number, since it is smaller than the sum of its proper divisors (33744608640).

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

11930664960 is an frugal number, since it uses more digits than its factorization.

11930664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 11930664960 in words is "eleven billion, nine hundred thirty million, six hundred sixty-four thousand, nine hundred sixty".