54806744160 has 288 divisors, whose sum is σ = 223040563200. Its totient is φ = 11982541824.

The previous prime is 54806744149. The next prime is 54806744171. The reversal of 54806744160 is 6144760845.

54806744160 is a `hidden beast` number, since 5 + 480 + 6 + 7 + 4 + 4 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (54806744149) and next prime (54806744171).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113641 + ... + 350039.

It is an arithmetic number, because the mean of its divisors is an integer number (774446400).

Almost surely, 2^54806744160 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 54806744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111520281600).

54806744160 is an abundant number, since it is smaller than the sum of its proper divisors (168233819040).

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

54806744160 is a wasteful number, since it uses less digits than its factorization.

54806744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236450 (or 236439 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54806744160 in words is "fifty-four billion, eight hundred six million, seven hundred forty-four thousand, one hundred sixty".