11728422604800 has 2340 divisors, whose sum is σ = 49748523276144. Its totient is φ = 2719634227200.

The previous prime is 11728422604757. The next prime is 11728422604817. The reversal of 11728422604800 is 840622482711.

11728422604800 is a `hidden beast` number, since 1 + 1 + 72 + 8 + 42 + 2 + 60 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 509931417589 + ... + 509931417611.

Almost surely, 2^{11728422604800} is an apocalyptic number.

11728422604800 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 11728422604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874261638072).

11728422604800 is an abundant number, since it is smaller than the sum of its proper divisors (38020100671344).

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

11728422604800 is an frugal number, since it uses more digits than its factorization.

11728422604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 11728422604800 in words is "eleven trillion, seven hundred twenty-eight billion, four hundred twenty-two million, six hundred four thousand, eight hundred".