5166616000 has 448 divisors, whose sum is σ = 16189415424. Its totient is φ = 1589760000.

The previous prime is 5166615947. The next prime is 5166616001. The reversal of 5166616000 is 6166615.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34215925 + ... + 34216075.

It is an arithmetic number, because the mean of its divisors is an integer number (36137088).

Almost surely, 2^5166616000 is an apocalyptic number.

5166616000 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 5166616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094707712).

5166616000 is an abundant number, since it is smaller than the sum of its proper divisors (11022799424).

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

5166616000 is a wasteful number, since it uses less digits than its factorization.

5166616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5166616000 is about 71879.1764004013. The cubic root of 5166616000 is about 1728.7627448339.

The spelling of 5166616000 in words is "five billion, one hundred sixty-six million, six hundred sixteen thousand".