11599227864 has 288 divisors, whose sum is σ = 38123205120. Its totient is φ = 3294333504.

The previous prime is 11599227859. The next prime is 11599227907. The reversal of 11599227864 is 46872299511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11599227864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25052097 + ... + 25052559.

It is an arithmetic number, because the mean of its divisors is an integer number (132372240).

Almost surely, 2^11599227864 is an apocalyptic number.

11599227864 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 11599227864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061602560).

11599227864 is an abundant number, since it is smaller than the sum of its proper divisors (26523977256).

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

11599227864 is a wasteful number, since it uses less digits than its factorization.

11599227864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 738 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 11599227864 in words is "eleven billion, five hundred ninety-nine million, two hundred twenty-seven thousand, eight hundred sixty-four".