11365989120 has 576 divisors, whose sum is σ = 42855321600. Its totient is φ = 2846638080.

The previous prime is 11365989083. The next prime is 11365989121. The reversal of 11365989120 is 2198956311.

11365989120 is a `hidden beast` number, since 1 + 1 + 36 + 598 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11365989121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62795430 + ... + 62795610.

It is an arithmetic number, because the mean of its divisors is an integer number (74401600).

Almost surely, 2^11365989120 is an apocalyptic number.

11365989120 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 11365989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427660800).

11365989120 is an abundant number, since it is smaller than the sum of its proper divisors (31489332480).

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

11365989120 is a wasteful number, since it uses less digits than its factorization.

11365989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11365989120 in words is "eleven billion, three hundred sixty-five million, nine hundred eighty-nine thousand, one hundred twenty".