54008453131200 has 1008 divisors, whose sum is σ = 218118518092800. Its totient is φ = 12600935424000.

The previous prime is 54008453131189. The next prime is 54008453131201. The reversal of 54008453131200 is 213135480045.

54008453131200 is a `hidden beast` number, since 5 + 40 + 0 + 84 + 531 + 3 + 1 + 2 + 0 + 0 = 666.

54008453131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54008453131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182343225 + ... + 182639175.

Almost surely, 2^{54008453131200} is an apocalyptic number.

54008453131200 is a gapful number since it is divisible by the number (50) 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 54008453131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109059259046400).

54008453131200 is an abundant number, since it is smaller than the sum of its proper divisors (164110064961600).

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

54008453131200 is a wasteful number, since it uses less digits than its factorization.

54008453131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296050 (or 296032 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54008453131200 in words is "fifty-four trillion, eight billion, four hundred fifty-three million, one hundred thirty-one thousand, two hundred".