54461684160 has 672 divisors, whose sum is σ = 218916577152. Its totient is φ = 12303728640.

The previous prime is 54461684159. The next prime is 54461684203. The reversal of 54461684160 is 6148616445.

54461684160 is a `hidden beast` number, since 5 + 446 + 168 + 41 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26094637 + ... + 26096723.

It is an arithmetic number, because the mean of its divisors is an integer number (325768716).

Almost surely, 2^54461684160 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 54461684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109458288576).

54461684160 is an abundant number, since it is smaller than the sum of its proper divisors (164454892992).

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

54461684160 is a wasteful number, since it uses less digits than its factorization.

54461684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54461684160 in words is "fifty-four billion, four hundred sixty-one million, six hundred eighty-four thousand, one hundred sixty".