54972588800 has 108 divisors (see below), whose sum is σ = 138097655976. Its totient is φ = 21660672000.

The previous prime is 54972588779. The next prime is 54972588851. The reversal of 54972588800 is 888527945.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364700 + ... + 492900.

Almost surely, 2^54972588800 is an apocalyptic number.

54972588800 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 54972588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048827988).

54972588800 is an abundant number, since it is smaller than the sum of its proper divisors (83125067176).

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

54972588800 is a wasteful number, since it uses less digits than its factorization.

54972588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128294 (or 128275 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 54972588800 in words is "fifty-four billion, nine hundred seventy-two million, five hundred eighty-eight thousand, eight hundred".