5168478000 has 160 divisors (see below), whose sum is σ = 19043781120. Its totient is φ = 1181356800.

The previous prime is 5168477969. The next prime is 5168478001. The reversal of 5168478000 is 8748615.

It is a self number, because there is not a number n which added to its sum of digits gives 5168478000.

It is not an unprimeable number, because it can be changed into a prime (5168478001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19530 + ... + 103529.

It is an arithmetic number, because the mean of its divisors is an integer number (119023632).

Almost surely, 2^5168478000 is an apocalyptic number.

5168478000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5168478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521890560).

5168478000 is an abundant number, since it is smaller than the sum of its proper divisors (13875303120).

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

5168478000 is a wasteful number, since it uses less digits than its factorization.

5168478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123092 (or 123076 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5168478000 is about 71892.1275245072. The cubic root of 5168478000 is about 1728.9703965228.

The spelling of 5168478000 in words is "five billion, one hundred sixty-eight million, four hundred seventy-eight thousand".