11417852160 has 864 divisors, whose sum is σ = 48212236800. Its totient is φ = 2456616960.

The previous prime is 11417852123. The next prime is 11417852183. The reversal of 11417852160 is 6125871411.

11417852160 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 78 + 521 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 47773321 + ... + 47773559.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^11417852160 is an apocalyptic number.

11417852160 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 11417852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106118400).

11417852160 is an abundant number, since it is smaller than the sum of its proper divisors (36794384640).

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

11417852160 is a wasteful number, since it uses less digits than its factorization.

11417852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11417852160 in words is "eleven billion, four hundred seventeen million, eight hundred fifty-two thousand, one hundred sixty".