5200121160 has 256 divisors, whose sum is σ = 19766073600. Its totient is φ = 1204678656.

The previous prime is 5200121159. The next prime is 5200121233. The reversal of 5200121160 is 611210025.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 227787 + ... + 249573.

It is an arithmetic number, because the mean of its divisors is an integer number (77211225).

Almost surely, 2^5200121160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883036800).

5200121160 is an abundant number, since it is smaller than the sum of its proper divisors (14565952440).

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

5200121160 is a wasteful number, since it uses less digits than its factorization.

5200121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21837 (or 21827 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5200121160 is about 72111.8655978335. The cubic root of 5200121160 is about 1732.4916661581.

Adding to 5200121160 its reverse (611210025), we get a palindrome (5811331185).

The spelling of 5200121160 in words is "five billion, two hundred million, one hundred twenty-one thousand, one hundred sixty".