54500022400200 has 768 divisors, whose sum is σ = 197260961990400. Its totient is φ = 12324372480000.

The previous prime is 54500022400147. The next prime is 54500022400207. The reversal of 54500022400200 is 200422000545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54500022400207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13621598200 + ... + 13621602200.

It is an arithmetic number, because the mean of its divisors is an integer number (256850210925).

Almost surely, 2^{54500022400200} is an apocalyptic number.

54500022400200 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 54500022400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98630480995200).

54500022400200 is an abundant number, since it is smaller than the sum of its proper divisors (142760939590200).

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

54500022400200 is a wasteful number, since it uses less digits than its factorization.

54500022400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 54500022400200 its reverse (200422000545), we get a palindrome (54700444400745).

The spelling of 54500022400200 in words is "fifty-four trillion, five hundred billion, twenty-two million, four hundred thousand, two hundred".