54505820160 has 1040 divisors, whose sum is σ = 222643175040. Its totient is φ = 12634030080.

The previous prime is 54505820119. The next prime is 54505820203. The reversal of 54505820160 is 6102850545.

54505820160 is a `hidden beast` number, since 545 + 0 + 58 + 2 + 0 + 1 + 60 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 529182669 + ... + 529182771.

It is an arithmetic number, because the mean of its divisors is an integer number (214079976).

Almost surely, 2^54505820160 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 54505820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321587520).

54505820160 is an abundant number, since it is smaller than the sum of its proper divisors (168137354880).

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

54505820160 is a wasteful number, since it uses less digits than its factorization.

54505820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 54505820160 in words is "fifty-four billion, five hundred five million, eight hundred twenty thousand, one hundred sixty".