11513251200 has 384 divisors, whose sum is σ = 42715837440. Its totient is φ = 2700288000.

The previous prime is 11513251199. The next prime is 11513251201. The reversal of 11513251200 is 215231511.

It is an interprime number because it is at equal distance from previous prime (11513251199) and next prime (11513251201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513251201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3271842 + ... + 3275358.

It is an arithmetic number, because the mean of its divisors is an integer number (111239160).

Almost surely, 2^11513251200 is an apocalyptic number.

11513251200 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 11513251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21357918720).

11513251200 is an abundant number, since it is smaller than the sum of its proper divisors (31202586240).

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

11513251200 is a wasteful number, since it uses less digits than its factorization.

11513251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 11513251200 its reverse (215231511), we get a palindrome (11728482711).

The spelling of 11513251200 in words is "eleven billion, five hundred thirteen million, two hundred fifty-one thousand, two hundred".