5178146688 has 576 divisors, whose sum is σ = 18976492080. Its totient is φ = 1331527680.

The previous prime is 5178146683. The next prime is 5178146801. The reversal of 5178146688 is 8866418715.

It is a happy number.

5178146688 is a `hidden beast` number, since 5 + 178 + 1 + 466 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178146681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120421995 + ... + 120422037.

Almost surely, 2^5178146688 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 5178146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488246040).

5178146688 is an abundant number, since it is smaller than the sum of its proper divisors (13798345392).

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

5178146688 is a wasteful number, since it uses less digits than its factorization.

5178146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 89 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 5178146688 is about 71959.3405194906. The cubic root of 5178146688 is about 1730.0478550474.

The spelling of 5178146688 in words is "five billion, one hundred seventy-eight million, one hundred forty-six thousand, six hundred eighty-eight".