11096064000 has 768 divisors, whose sum is σ = 46782552960. Its totient is φ = 2477260800.

The previous prime is 11096063989. The next prime is 11096064037. The reversal of 11096064000 is 46069011.

11096064000 is a `hidden beast` number, since 1 + 10 + 9 + 6 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258047979 + ... + 258048021.

Almost surely, 2^11096064000 is an apocalyptic number.

11096064000 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 11096064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391276480).

11096064000 is an abundant number, since it is smaller than the sum of its proper divisors (35686488960).

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

11096064000 is an frugal number, since it uses more digits than its factorization.

11096064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11096064000 in words is "eleven billion, ninety-six million, sixty-four thousand".