5165568000 has 624 divisors, whose sum is σ = 19933617600. Its totient is φ = 1282867200.

The previous prime is 5165567977. The next prime is 5165568043. The reversal of 5165568000 is 8655615.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 87551971 + ... + 87552029.

It is an arithmetic number, because the mean of its divisors is an integer number (31944900).

Almost surely, 2^5165568000 is an apocalyptic number.

5165568000 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 5165568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966808800).

5165568000 is an abundant number, since it is smaller than the sum of its proper divisors (14768049600).

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

5165568000 is a wasteful number, since it uses less digits than its factorization.

5165568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5165568000 is about 71871.8860195000. The cubic root of 5165568000 is about 1728.6458491154.

The spelling of 5165568000 in words is "five billion, one hundred sixty-five million, five hundred sixty-eight thousand".