11008905600 has 768 divisors, whose sum is σ = 46224898560. Its totient is φ = 2236416000.

The previous prime is 11008905599. The next prime is 11008905617. The reversal of 11008905600 is 650980011.

It is a happy number.

It is a super-2 number, since 2×11008905600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39177460 + ... + 39177740.

It is an arithmetic number, because the mean of its divisors is an integer number (60188670).

Almost surely, 2^11008905600 is an apocalyptic number.

11008905600 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 11008905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112449280).

11008905600 is an abundant number, since it is smaller than the sum of its proper divisors (35215992960).

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

11008905600 is a wasteful number, since it uses less digits than its factorization.

11008905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11008905600 in words is "eleven billion, eight million, nine hundred five thousand, six hundred".