11160780800 has 228 divisors, whose sum is σ = 30035353656. Its totient is φ = 4089446400.

The previous prime is 11160780779. The next prime is 11160780833. The reversal of 11160780800 is 808706111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85196735 + ... + 85196865.

Almost surely, 2^11160780800 is an apocalyptic number.

11160780800 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 11160780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017676828).

11160780800 is an abundant number, since it is smaller than the sum of its proper divisors (18874572856).

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

11160780800 is an frugal number, since it uses more digits than its factorization.

11160780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The spelling of 11160780800 in words is "eleven billion, one hundred sixty million, seven hundred eighty thousand, eight hundred".