11117904480 has 240 divisors, whose sum is σ = 40504109184. Its totient is φ = 2869032960.

The previous prime is 11117904467. The next prime is 11117904503. The reversal of 11117904480 is 8440971111.

It is a happy number.

11117904480 is a `hidden beast` number, since 1 + 1 + 1 + 179 + 0 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387924 + ... + 415596.

Almost surely, 2^11117904480 is an apocalyptic number.

11117904480 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 11117904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252054592).

11117904480 is an abundant number, since it is smaller than the sum of its proper divisors (29386204704).

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

11117904480 is a wasteful number, since it uses less digits than its factorization.

11117904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27731 (or 27714 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11117904480 in words is "eleven billion, one hundred seventeen million, nine hundred four thousand, four hundred eighty".