11812016160 has 1344 divisors, whose sum is σ = 54258688512. Its totient is φ = 2364899328.

The previous prime is 11812016131. The next prime is 11812016173. The reversal of 11812016160 is 6161021811.

It is a super-2 number, since 2×11812016160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 319243662 + ... + 319243698.

It is an arithmetic number, because the mean of its divisors is an integer number (40371048).

Almost surely, 2^11812016160 is an apocalyptic number.

11812016160 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 11812016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129344256).

11812016160 is an abundant number, since it is smaller than the sum of its proper divisors (42446672352).

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

11812016160 is a wasteful number, since it uses less digits than its factorization.

11812016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 11812016160 its reverse (6161021811), we get a palindrome (17973037971).

The spelling of 11812016160 in words is "eleven billion, eight hundred twelve million, sixteen thousand, one hundred sixty".