11668907520 has 320 divisors, whose sum is σ = 41650994880. Its totient is φ = 3096576000.

The previous prime is 11668907519. The next prime is 11668907527. The reversal of 11668907520 is 2570986611.

11668907520 is a `hidden beast` number, since 116 + 6 + 8 + 9 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668907527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27716910 + ... + 27717330.

It is an arithmetic number, because the mean of its divisors is an integer number (130159359).

Almost surely, 2^11668907520 is an apocalyptic number.

11668907520 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 11668907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20825497440).

11668907520 is an abundant number, since it is smaller than the sum of its proper divisors (29982087360).

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

11668907520 is an equidigital number, since it uses as much as digits as its factorization.

11668907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 832 counting only the distinct ones).

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

The spelling of 11668907520 in words is "eleven billion, six hundred sixty-eight million, nine hundred seven thousand, five hundred twenty".