11847628800 has 432 divisors, whose sum is σ = 48505176720. Its totient is φ = 2707292160.

The previous prime is 11847628747. The next prime is 11847628813. The reversal of 11847628800 is 882674811.

11847628800 is a `hidden beast` number, since 1 + 18 + 4 + 7 + 628 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3223764 + ... + 3227436.

Almost surely, 2^11847628800 is an apocalyptic number.

11847628800 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 11847628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24252588360).

11847628800 is an abundant number, since it is smaller than the sum of its proper divisors (36657547920).

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

11847628800 is a wasteful number, since it uses less digits than its factorization.

11847628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11847628800 in words is "eleven billion, eight hundred forty-seven million, six hundred twenty-eight thousand, eight hundred".