11820300800 has 480 divisors, whose sum is σ = 37264043520. Its totient is φ = 3608985600.

The previous prime is 11820300797. The next prime is 11820300823. The reversal of 11820300800 is 800302811.

It is a super-2 number, since 2×11820300800² (a number of 21 digits) contains 22 as substring.

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, 66035111 + ... + 66035289.

It is an arithmetic number, because the mean of its divisors is an integer number (77633424).

Almost surely, 2^11820300800 is an apocalyptic number.

11820300800 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 11820300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632021760).

11820300800 is an abundant number, since it is smaller than the sum of its proper divisors (25443742720).

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

11820300800 is a wasteful number, since it uses less digits than its factorization.

11820300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 11820300800 in words is "eleven billion, eight hundred twenty million, three hundred thousand, eight hundred".