54942541828200 has 576 divisors, whose sum is σ = 215709289704000. Its totient is φ = 12812507735040.

The previous prime is 54942541828199. The next prime is 54942541828217. The reversal of 54942541828200 is 282814524945.

It is a happy number.

54942541828200 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 254 + 182 + 8 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15755074 + ... + 18923726.

It is an arithmetic number, because the mean of its divisors is an integer number (374495294625).

Almost surely, 2^{54942541828200} is an apocalyptic number.

54942541828200 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 54942541828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107854644852000).

54942541828200 is an abundant number, since it is smaller than the sum of its proper divisors (160766747875800).

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

54942541828200 is a wasteful number, since it uses less digits than its factorization.

54942541828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168723 (or 3168695 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 54942541828200 in words is "fifty-four trillion, nine hundred forty-two billion, five hundred forty-one million, eight hundred twenty-eight thousand, two hundred".