11520366000 has 640 divisors, whose sum is σ = 45237104640. Its totient is φ = 2483712000.

The previous prime is 11520365993. The next prime is 11520366043. The reversal of 11520366000 is 66302511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24881769 + ... + 24882231.

It is an arithmetic number, because the mean of its divisors is an integer number (70682976).

Almost surely, 2^11520366000 is an apocalyptic number.

11520366000 is a gapful number since it is divisible by the number (10) 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 11520366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618552320).

11520366000 is an abundant number, since it is smaller than the sum of its proper divisors (33716738640).

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

11520366000 is a wasteful number, since it uses less digits than its factorization.

11520366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11520366000 its reverse (66302511), we get a palindrome (11586668511).

The spelling of 11520366000 in words is "eleven billion, five hundred twenty million, three hundred sixty-six thousand".