11480011200 has 336 divisors, whose sum is σ = 47828565760. Its totient is φ = 2623933440.

The previous prime is 11480011187. The next prime is 11480011219. The reversal of 11480011200 is 211008411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283419 + ... + 321381.

Almost surely, 2^11480011200 is an apocalyptic number.

11480011200 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 11480011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914282880).

11480011200 is an abundant number, since it is smaller than the sum of its proper divisors (36348554560).

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

11480011200 is a wasteful number, since it uses less digits than its factorization.

11480011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38001 (or 37980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11480011200 its reverse (211008411), we get a palindrome (11691019611).

The spelling of 11480011200 in words is "eleven billion, four hundred eighty million, eleven thousand, two hundred".