54554968800 has 288 divisors, whose sum is σ = 197617039200. Its totient is φ = 14525153280.

The previous prime is 54554968781. The next prime is 54554968807. The reversal of 54554968800 is 886945545.

54554968800 is a `hidden beast` number, since 5 + 4 + 554 + 9 + 6 + 8 + 80 + 0 = 666.

54554968800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54554968807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17213616 + ... + 17216784.

It is an arithmetic number, because the mean of its divisors is an integer number (686170275).

Almost surely, 2^54554968800 is an apocalyptic number.

54554968800 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 54554968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98808519600).

54554968800 is an abundant number, since it is smaller than the sum of its proper divisors (143062070400).

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

54554968800 is a wasteful number, since it uses less digits than its factorization.

54554968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 54554968800 in words is "fifty-four billion, five hundred fifty-four million, nine hundred sixty-eight thousand, eight hundred".