11089041600 has 672 divisors, whose sum is σ = 45717073920. Its totient is φ = 2290728960.

The previous prime is 11089041581. The next prime is 11089041617. The reversal of 11089041600 is 614098011.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×11089041600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23150161 + ... + 23150639.

It is an arithmetic number, because the mean of its divisors is an integer number (68031360).

Almost surely, 2^11089041600 is an apocalyptic number.

11089041600 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 11089041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858536960).

11089041600 is an abundant number, since it is smaller than the sum of its proper divisors (34628032320).

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

11089041600 is a wasteful number, since it uses less digits than its factorization.

11089041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11089041600 in words is "eleven billion, eighty-nine million, forty-one thousand, six hundred".