54105536160 has 288 divisors, whose sum is σ = 200364772608. Its totient is φ = 13216020480.

The previous prime is 54105536137. The next prime is 54105536161. The reversal of 54105536160 is 6163550145.

54105536160 is a `hidden beast` number, since 5 + 4 + 105 + 536 + 16 + 0 = 666.

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

It is a super-2 number, since 2×54105536160² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54105536161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2441289 + ... + 2463351.

It is an arithmetic number, because the mean of its divisors is an integer number (695711016).

Almost surely, 2^54105536160 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 54105536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100182386304).

54105536160 is an abundant number, since it is smaller than the sum of its proper divisors (146259236448).

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

54105536160 is a wasteful number, since it uses less digits than its factorization.

54105536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228 (or 22217 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 54105536160 in words is "fifty-four billion, one hundred five million, five hundred thirty-six thousand, one hundred sixty".