11178840960 has 768 divisors, whose sum is σ = 47842928640. Its totient is φ = 2346909696.

The previous prime is 11178840929. The next prime is 11178840961. The reversal of 11178840960 is 6904887111.

It is a happy number.

11178840960 is a `hidden beast` number, since 11 + 178 + 8 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11178840961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32215507 + ... + 32215853.

It is an arithmetic number, because the mean of its divisors is an integer number (62295480).

Almost surely, 2^11178840960 is an apocalyptic number.

11178840960 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 11178840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23921464320).

11178840960 is an abundant number, since it is smaller than the sum of its proper divisors (36664087680).

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

11178840960 is a wasteful number, since it uses less digits than its factorization.

11178840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11178840960 in words is "eleven billion, one hundred seventy-eight million, eight hundred forty thousand, nine hundred sixty".