54450220032 has 352 divisors, whose sum is σ = 174767947200. Its totient is φ = 16647192576.

The previous prime is 54450219983. The next prime is 54450220037. The reversal of 54450220032 is 23002205445.

It is a happy number.

54450220032 is a `hidden beast` number, since 5 + 4 + 450 + 2 + 200 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54450219978 and 54450220005.

It is not an unprimeable number, because it can be changed into a prime (54450220037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70806144 + ... + 70806912.

It is an arithmetic number, because the mean of its divisors is an integer number (496499850).

Almost surely, 2^54450220032 is an apocalyptic number.

54450220032 is a gapful number since it is divisible by the number (52) 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 54450220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87383973600).

54450220032 is an abundant number, since it is smaller than the sum of its proper divisors (120317727168).

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

54450220032 is a wasteful number, since it uses less digits than its factorization.

54450220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 54450220032 its reverse (23002205445), we get a palindrome (77452425477).

The spelling of 54450220032 in words is "fifty-four billion, four hundred fifty million, two hundred twenty thousand, thirty-two".