11371200000 has 480 divisors, whose sum is σ = 39894446592. Its totient is φ = 2872320000.

The previous prime is 11371199963. The next prime is 11371200007. The reversal of 11371200000 is 217311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11371200007) 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, 110399949 + ... + 110400051.

Almost surely, 2^11371200000 is an apocalyptic number.

11371200000 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 11371200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947223296).

11371200000 is an abundant number, since it is smaller than the sum of its proper divisors (28523246592).

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

11371200000 is an frugal number, since it uses more digits than its factorization.

11371200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

Adding to 11371200000 its reverse (217311), we get a palindrome (11371417311).

The spelling of 11371200000 in words is "eleven billion, three hundred seventy-one million, two hundred thousand".