11917421760 has 448 divisors, whose sum is σ = 40918302720. Its totient is φ = 2932899840.

The previous prime is 11917421759. The next prime is 11917421767. The reversal of 11917421760 is 6712471911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11917421767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86988412 + ... + 86988548.

Almost surely, 2^11917421760 is an apocalyptic number.

11917421760 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 11917421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459151360).

11917421760 is an abundant number, since it is smaller than the sum of its proper divisors (29000880960).

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

11917421760 is a wasteful number, since it uses less digits than its factorization.

11917421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 11917421760 in words is "eleven billion, nine hundred seventeen million, four hundred twenty-one thousand, seven hundred sixty".