54308080224 has 144 divisors (see below), whose sum is σ = 161302836240. Its totient is φ = 17314698240.

The previous prime is 54308080213. The next prime is 54308080231. The reversal of 54308080224 is 42208080345.

54308080224 is a `hidden beast` number, since 54 + 308 + 0 + 80 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585514 + ... + 671894.

It is an arithmetic number, because the mean of its divisors is an integer number (1120158585).

Almost surely, 2^54308080224 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 54308080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80651418120).

54308080224 is an abundant number, since it is smaller than the sum of its proper divisors (106994756016).

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

54308080224 is a wasteful number, since it uses less digits than its factorization.

54308080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86493 (or 86482 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 54308080224 in words is "fifty-four billion, three hundred eight million, eighty thousand, two hundred twenty-four".