11291825168 has 160 divisors (see below), whose sum is σ = 25030897920. Its totient is φ = 4899502080.

The previous prime is 11291825147. The next prime is 11291825189. The reversal of 11291825168 is 86152819211.

It is a Cunningham number, because it is equal to 106263²-1.

It is an interprime number because it is at equal distance from previous prime (11291825147) and next prime (11291825189).

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 31 ways as a sum of consecutive naturals, for example, 31453373 + ... + 31453731.

It is an arithmetic number, because the mean of its divisors is an integer number (156443112).

Almost surely, 2^11291825168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11291825168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515448960).

11291825168 is an abundant number, since it is smaller than the sum of its proper divisors (13739072752).

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

11291825168 is a wasteful number, since it uses less digits than its factorization.

11291825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its digits is 69120, while the sum is 44.

The spelling of 11291825168 in words is "eleven billion, two hundred ninety-one million, eight hundred twenty-five thousand, one hundred sixty-eight".