54653320224 has 72 divisors (see below), whose sum is σ = 155656050732. Its totient is φ = 18190149120.

The previous prime is 54653320219. The next prime is 54653320273. The reversal of 54653320224 is 42202335645.

54653320224 is a `hidden beast` number, since 54 + 65 + 3 + 320 + 224 = 666.

54653320224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50145540624 + 4507779600 = 223932^2 + 67140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46822 + ... + 333914.

Almost surely, 2^54653320224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54653320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77828025366).

54653320224 is an abundant number, since it is smaller than the sum of its proper divisors (101002730508).

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

54653320224 is a wasteful number, since it uses less digits than its factorization.

54653320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287770 (or 287759 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 54653320224 its reverse (42202335645), we get a palindrome (96855655869).

The spelling of 54653320224 in words is "fifty-four billion, six hundred fifty-three million, three hundred twenty thousand, two hundred twenty-four".