11117151360 has 768 divisors, whose sum is σ = 47545056000. Its totient is φ = 2384363520.

The previous prime is 11117151349. The next prime is 11117151373. The reversal of 11117151360 is 6315171111.

11117151360 is a `hidden beast` number, since 11 + 11 + 71 + 513 + 60 = 666.

It is a super-3 number, since 3×11117151360³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33586395 + ... + 33586725.

It is an arithmetic number, because the mean of its divisors is an integer number (61907625).

Almost surely, 2^11117151360 is an apocalyptic number.

11117151360 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 11117151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772528000).

11117151360 is an abundant number, since it is smaller than the sum of its proper divisors (36427904640).

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

11117151360 is a wasteful number, since it uses less digits than its factorization.

11117151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The spelling of 11117151360 in words is "eleven billion, one hundred seventeen million, one hundred fifty-one thousand, three hundred sixty".