54422215200 has 360 divisors, whose sum is σ = 200998385280. Its totient is φ = 14327539200.

The previous prime is 54422215151. The next prime is 54422215213. The reversal of 54422215200 is 251222445.

54422215200 is a `hidden beast` number, since 5 + 4 + 422 + 215 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×54422215200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5113885 + ... + 5124515.

It is an arithmetic number, because the mean of its divisors is an integer number (558328848).

Almost surely, 2^54422215200 is an apocalyptic number.

54422215200 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 54422215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100499192640).

54422215200 is an abundant number, since it is smaller than the sum of its proper divisors (146576170080).

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

54422215200 is a wasteful number, since it uses less digits than its factorization.

54422215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 54422215200 its reverse (251222445), we get a palindrome (54673437645).

The spelling of 54422215200 in words is "fifty-four billion, four hundred twenty-two million, two hundred fifteen thousand, two hundred".