11320010582616 has 256 divisors, whose sum is σ = 36254977920000. Its totient is φ = 3248444860416.

The previous prime is 11320010582561. The next prime is 11320010582681. The reversal of 11320010582616 is 61628501002311.

11320010582616 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 0 + 10 + 582 + 61 + 6 = 666.

It is a super-2 number, since 2×11320010582616² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774180 + ... + 4820723.

It is an arithmetic number, because the mean of its divisors is an integer number (141621007500).

Almost surely, 2^{11320010582616} 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 11320010582616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127488960000).

11320010582616 is an abundant number, since it is smaller than the sum of its proper divisors (24934967337384).

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

11320010582616 is a wasteful number, since it uses less digits than its factorization.

11320010582616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594983 (or 5594973 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 11320010582616 its reverse (61628501002311), we get a palindrome (72948511584927).

The spelling of 11320010582616 in words is "eleven trillion, three hundred twenty billion, ten million, five hundred eighty-two thousand, six hundred sixteen".