11009376000 has 864 divisors, whose sum is σ = 46691893248. Its totient is φ = 2438553600.

The previous prime is 11009375999. The next prime is 11009376019. The reversal of 11009376000 is 67390011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86687937 + ... + 86688063.

Almost surely, 2^11009376000 is an apocalyptic number.

11009376000 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 11009376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23345946624).

11009376000 is an abundant number, since it is smaller than the sum of its proper divisors (35682517248).

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

11009376000 is a wasteful number, since it uses less digits than its factorization.

11009376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 11009376000 in words is "eleven billion, nine million, three hundred seventy-six thousand".