11883579724800 has 3960 divisors, whose sum is σ = 54882931296600. Its totient is φ = 2528292372480.

The previous prime is 11883579724789. The next prime is 11883579724811. The reversal of 11883579724800 is 842797538811.

11883579724800 is a `hidden beast` number, since 1 + 1 + 8 + 83 + 5 + 7 + 9 + 72 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11883579724789) and next prime (11883579724811).

It can be written as a sum of positive squares in 12 ways, for example, as 439919133696 + 11443660591104 = 663264^2 + 3382848^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 109023667146 + ... + 109023667254.

It is an arithmetic number, because the mean of its divisors is an integer number (13859326085).

Almost surely, 2^{11883579724800} is an apocalyptic number.

11883579724800 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 11883579724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27441465648300).

11883579724800 is an abundant number, since it is smaller than the sum of its proper divisors (42999351571800).

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

11883579724800 is a wasteful number, since it uses less digits than its factorization.

11883579724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 11883579724800 in words is "eleven trillion, eight hundred eighty-three billion, five hundred seventy-nine million, seven hundred twenty-four thousand, eight hundred".