54221220244800 has 3024 divisors, whose sum is σ = 242676538897920. Its totient is φ = 11874885120000.

The previous prime is 54221220244691. The next prime is 54221220244843. The reversal of 54221220244800 is 844202212245.

54221220244800 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 2 + 202 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 536843764750 + ... + 536843764850.

Almost surely, 2^{54221220244800} is an apocalyptic number.

54221220244800 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 54221220244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121338269448960).

54221220244800 is an abundant number, since it is smaller than the sum of its proper divisors (188455318653120).

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

54221220244800 is an equidigital number, since it uses as much as digits as its factorization.

54221220244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 54221220244800 in words is "fifty-four trillion, two hundred twenty-one billion, two hundred twenty million, two hundred forty-four thousand, eight hundred".