11290503168 has 432 divisors, whose sum is σ = 39422859840. Its totient is φ = 3218890752.

The previous prime is 11290503167. The next prime is 11290503179. The reversal of 11290503168 is 86130509211.

11290503168 is a `hidden beast` number, since 1 + 1 + 2 + 90 + 503 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (11290503167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24385305 + ... + 24385767.

It is an arithmetic number, because the mean of its divisors is an integer number (91256620).

Almost surely, 2^11290503168 is an apocalyptic number.

11290503168 is a gapful number since it is divisible by the number (18) 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 11290503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711429920).

11290503168 is an abundant number, since it is smaller than the sum of its proper divisors (28132356672).

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

11290503168 is an frugal number, since it uses more digits than its factorization.

11290503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11290503168 in words is "eleven billion, two hundred ninety million, five hundred three thousand, one hundred sixty-eight".