5115801600 has 936 divisors, whose sum is σ = 22921956512. Its totient is φ = 1061683200.

The previous prime is 5115801589. The next prime is 5115801641. The reversal of 5115801600 is 61085115.

5115801600 is a `hidden beast` number, since 5 + 1 + 1 + 58 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83865570 + ... + 83865630.

Almost surely, 2^5115801600 is an apocalyptic number.

5115801600 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 5115801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460978256).

5115801600 is an abundant number, since it is smaller than the sum of its proper divisors (17806154912).

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

5115801600 is a wasteful number, since it uses less digits than its factorization.

5115801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 5115801600 is about 71524.8320515330. The cubic root of 5115801600 is about 1723.0765201464.

Adding to 5115801600 its reverse (61085115), we get a palindrome (5176886715).

The spelling of 5115801600 in words is "five billion, one hundred fifteen million, eight hundred one thousand, six hundred".