11841315200 has 384 divisors, whose sum is σ = 34821208800. Its totient is φ = 3922329600.

The previous prime is 11841315197. The next prime is 11841315217. The reversal of 11841315200 is 251314811.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11841315200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51708686 + ... + 51708914.

Almost surely, 2^11841315200 is an apocalyptic number.

11841315200 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 11841315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410604400).

11841315200 is an abundant number, since it is smaller than the sum of its proper divisors (22979893600).

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

11841315200 is a wasteful number, since it uses less digits than its factorization.

11841315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 11841315200 in words is "eleven billion, eight hundred forty-one million, three hundred fifteen thousand, two hundred".