5165015600 has 120 divisors (see below), whose sum is σ = 12586255440. Its totient is φ = 2036736000.

The previous prime is 5165015593. The next prime is 5165015657. The reversal of 5165015600 is 65105615.

It is a super-2 number, since 2×5165015600² = 53354772296486720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12628196 + ... + 12628604.

It is an arithmetic number, because the mean of its divisors is an integer number (104885462).

Almost surely, 2^5165015600 is an apocalyptic number.

5165015600 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 5165015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293127720).

5165015600 is an abundant number, since it is smaller than the sum of its proper divisors (7421239840).

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

5165015600 is a wasteful number, since it uses less digits than its factorization.

5165015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 5165015600 is about 71868.0429676501. The cubic root of 5165015600 is about 1728.5842271080.

It can be divided in two parts, 5165015 and 600, that added together give a palindrome (5165615).

The spelling of 5165015600 in words is "five billion, one hundred sixty-five million, fifteen thousand, six hundred".