54565320240 has 240 divisors, whose sum is σ = 204240722400. Its totient is φ = 12973989888.

The previous prime is 54565320239. The next prime is 54565320241. The reversal of 54565320240 is 4202356545.

54565320240 is a `hidden beast` number, since 54 + 56 + 532 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54565320239) and next prime (54565320241).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 54565320195 and 54565320204.

It is not an unprimeable number, because it can be changed into a prime (54565320241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115246 + ... + 349874.

It is an arithmetic number, because the mean of its divisors is an integer number (851003010).

Almost surely, 2^54565320240 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 54565320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102120361200).

54565320240 is an abundant number, since it is smaller than the sum of its proper divisors (149675402160).

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

54565320240 is a wasteful number, since it uses less digits than its factorization.

54565320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234684 (or 234675 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 54565320240 its reverse (4202356545), we get a palindrome (58767676785).

The spelling of 54565320240 in words is "fifty-four billion, five hundred sixty-five million, three hundred twenty thousand, two hundred forty".