11608780800 has 624 divisors, whose sum is σ = 42122446848. Its totient is φ = 2811494400.

The previous prime is 11608780789. The next prime is 11608780849. The reversal of 11608780800 is 808780611.

11608780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219033574 + ... + 219033626.

Almost surely, 2^11608780800 is an apocalyptic number.

11608780800 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 11608780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061223424).

11608780800 is an abundant number, since it is smaller than the sum of its proper divisors (30513666048).

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

11608780800 is a wasteful number, since it uses less digits than its factorization.

11608780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 11608780800 in words is "eleven billion, six hundred eight million, seven hundred eighty thousand, eight hundred".