11203980800 has 240 divisors, whose sum is σ = 30505368960. Its totient is φ = 4059095040.

The previous prime is 11203980787. The next prime is 11203980833. The reversal of 11203980800 is 808930211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5592599 + ... + 5594601.

It is an arithmetic number, because the mean of its divisors is an integer number (127105704).

Almost surely, 2^11203980800 is an apocalyptic number.

11203980800 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 11203980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252684480).

11203980800 is an abundant number, since it is smaller than the sum of its proper divisors (19301388160).

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

11203980800 is a wasteful number, since it uses less digits than its factorization.

11203980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 11203980800 in words is "eleven billion, two hundred three million, nine hundred eighty thousand, eight hundred".