11327361024 has 416 divisors, whose sum is σ = 37744128000. Its totient is φ = 2947940352.

The previous prime is 11327360981. The next prime is 11327361047. The reversal of 11327361024 is 42016372311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11327360982 and 11327361000.

It is a congruent number.

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, 47394697 + ... + 47394935.

Almost surely, 2^11327361024 is an apocalyptic number.

11327361024 is a gapful number since it is divisible by the number (14) 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 11327361024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872064000).

11327361024 is an abundant number, since it is smaller than the sum of its proper divisors (26416766976).

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

11327361024 is a wasteful number, since it uses less digits than its factorization.

11327361024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 11327361024 in words is "eleven billion, three hundred twenty-seven million, three hundred sixty-one thousand, twenty-four".