11324620800 has 300 divisors, whose sum is σ = 41607494440. Its totient is φ = 3019898880.

The previous prime is 11324620793. The next prime is 11324620807. The reversal of 11324620800 is 802642311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)¹⁷.

11324620800 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 620 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11324620793) and next prime (11324620807).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11324620807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2264924158 + ... + 2264924162.

Almost surely, 2^11324620800 is an apocalyptic number.

11324620800 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 11324620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803747220).

11324620800 is an abundant number, since it is smaller than the sum of its proper divisors (30282873640).

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

11324620800 is an frugal number, since it uses more digits than its factorization.

11324620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 11324620800 by its sum of digits (27), we get a square (305764761600 = 552960²).

11324620800 divided by its sum of digits (27) gives a square (419430400 = 20480²).

The spelling of 11324620800 in words is "eleven billion, three hundred twenty-four million, six hundred twenty thousand, eight hundred".