5110519680 has 576 divisors, whose sum is σ = 21631568400. Its totient is φ = 1105477632.

The previous prime is 5110519679. The next prime is 5110519709. The reversal of 5110519680 is 869150115.

5110519680 is a `hidden beast` number, since 51 + 10 + 519 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5110519680² = 52234822799334604800, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362084 + ... + 5363036.

Almost surely, 2^5110519680 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 5110519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815784200).

5110519680 is an abundant number, since it is smaller than the sum of its proper divisors (16521048720).

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

5110519680 is a wasteful number, since it uses less digits than its factorization.

5110519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 5110519680 is about 71487.8988360967. The cubic root of 5110519680 is about 1722.4833067350.

Adding to 5110519680 its reverse (869150115), we get a palindrome (5979669795).

The spelling of 5110519680 in words is "five billion, one hundred ten million, five hundred nineteen thousand, six hundred eighty".