54224386560 has 480 divisors, whose sum is σ = 196510279680. Its totient is φ = 13816258560.

The previous prime is 54224386547. The next prime is 54224386561. The reversal of 54224386560 is 6568342245.

54224386560 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 4 + 3 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54224386561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686384601 + ... + 686384679.

It is an arithmetic number, because the mean of its divisors is an integer number (409396416).

Almost surely, 2^54224386560 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 54224386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255139840).

54224386560 is an abundant number, since it is smaller than the sum of its proper divisors (142285893120).

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

54224386560 is an frugal number, since it uses more digits than its factorization.

54224386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 54224386560 in words is "fifty-four billion, two hundred twenty-four million, three hundred eighty-six thousand, five hundred sixty".