11982484800 has 1134 divisors, whose sum is σ = 52700359166. Its totient is φ = 2564812800.

The previous prime is 11982484747. The next prime is 11982484831. The reversal of 11982484800 is 848428911.

11982484800 is a `hidden beast` number, since 1 + 1 + 98 + 2 + 484 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36869184 + 11945615616 = 6072^2 + 109296^2 .

It is a super-3 number, since 3×11982484800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 520977589 + ... + 520977611.

Almost surely, 2^11982484800 is an apocalyptic number.

11982484800 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 11982484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26350179583).

11982484800 is an abundant number, since it is smaller than the sum of its proper divisors (40717874366).

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

11982484800 is a wasteful number, since it uses less digits than its factorization.

11982484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 11982484800 in words is "eleven billion, nine hundred eighty-two million, four hundred eighty-four thousand, eight hundred".