11385960110208 has 640 divisors, whose sum is σ = 38156359348800. Its totient is φ = 3349079654400.

The previous prime is 11385960110201. The next prime is 11385960110233. The reversal of 11385960110208 is 80201106958311.

11385960110208 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 9 + 601 + 10 + 20 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11385960110201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324822283 + ... + 324857333.

Almost surely, 2^{11385960110208} is an apocalyptic number.

11385960110208 is a gapful number since it is divisible by the number (18) 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 11385960110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078179674400).

11385960110208 is an abundant number, since it is smaller than the sum of its proper divisors (26770399238592).

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

11385960110208 is a wasteful number, since it uses less digits than its factorization.

11385960110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35210 (or 35189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11385960110208 in words is "eleven trillion, three hundred eighty-five billion, nine hundred sixty million, one hundred ten thousand, two hundred eight".