11780380800 has 480 divisors, whose sum is σ = 44443048320. Its totient is φ = 3071416320.

The previous prime is 11780380771. The next prime is 11780380811. The reversal of 11780380800 is 808308711.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12181917 + ... + 12182883.

It is an arithmetic number, because the mean of its divisors is an integer number (92589684).

Almost surely, 2^11780380800 is an apocalyptic number.

11780380800 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 11780380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221524160).

11780380800 is an abundant number, since it is smaller than the sum of its proper divisors (32662667520).

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

11780380800 is an equidigital number, since it uses as much as digits as its factorization.

11780380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11780380800 in words is "eleven billion, seven hundred eighty million, three hundred eighty thousand, eight hundred".