54117020160 has 800 divisors, whose sum is σ = 231293981952. Its totient is φ = 11824496640.

The previous prime is 54117020143. The next prime is 54117020231. The reversal of 54117020160 is 6102071145.

It is a happy number.

54117020160 is a `hidden beast` number, since 5 + 411 + 70 + 20 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384150 + ... + 33385770.

Almost surely, 2^54117020160 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 54117020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115646990976).

54117020160 is an abundant number, since it is smaller than the sum of its proper divisors (177176961792).

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

54117020160 is a wasteful number, since it uses less digits than its factorization.

54117020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 54117020160 in words is "fifty-four billion, one hundred seventeen million, twenty thousand, one hundred sixty".