54561548160 has 384 divisors, whose sum is σ = 223302643200. Its totient is φ = 12470962176.

The previous prime is 54561548143. The next prime is 54561548191. The reversal of 54561548160 is 6184516545.

54561548160 is a `hidden beast` number, since 5 + 4 + 561 + 5 + 4 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1063581 + ... + 1113699.

It is an arithmetic number, because the mean of its divisors is an integer number (581517300).

Almost surely, 2^54561548160 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 54561548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111651321600).

54561548160 is an abundant number, since it is smaller than the sum of its proper divisors (168741095040).

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

54561548160 is an equidigital number, since it uses as much as digits as its factorization.

54561548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50160 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54561548160 in words is "fifty-four billion, five hundred sixty-one million, five hundred forty-eight thousand, one hundred sixty".