5416175520 has 288 divisors, whose sum is σ = 22366326528. Its totient is φ = 1165123584.

The previous prime is 5416175507. The next prime is 5416175561. The reversal of 5416175520 is 255716145.

5416175520 is a `hidden beast` number, since 5 + 4 + 1 + 61 + 75 + 520 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155557 + ... + 187163.

It is an arithmetic number, because the mean of its divisors is an integer number (77660856).

Almost surely, 2^5416175520 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 5416175520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183163264).

5416175520 is an abundant number, since it is smaller than the sum of its proper divisors (16950151008).

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

5416175520 is a wasteful number, since it uses less digits than its factorization.

5416175520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31652 (or 31641 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5416175520 is about 73594.6704592119. The cubic root of 5416175520 is about 1756.1606562538.

The spelling of 5416175520 in words is "five billion, four hundred sixteen million, one hundred seventy-five thousand, five hundred twenty".