11905394688 has 576 divisors, whose sum is σ = 41305118400. Its totient is φ = 3357573120.

The previous prime is 11905394687. The next prime is 11905394741. The reversal of 11905394688 is 88649350911.

11905394688 is a `hidden beast` number, since 1 + 190 + 5 + 394 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11905394687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321767406 + ... + 321767442.

It is an arithmetic number, because the mean of its divisors is an integer number (71710275).

Almost surely, 2^11905394688 is an apocalyptic number.

11905394688 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 11905394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652559200).

11905394688 is an abundant number, since it is smaller than the sum of its proper divisors (29399723712).

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

11905394688 is a wasteful number, since it uses less digits than its factorization.

11905394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11905394688 in words is "eleven billion, nine hundred five million, three hundred ninety-four thousand, six hundred eighty-eight".