5123851680 has 288 divisors, whose sum is σ = 17879932224. Its totient is φ = 1229037568.

The previous prime is 5123851673. The next prime is 5123851717. The reversal of 5123851680 is 861583215.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4316047 + ... + 4317233.

It is an arithmetic number, because the mean of its divisors is an integer number (62083098).

Almost surely, 2^5123851680 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 5123851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939966112).

5123851680 is an abundant number, since it is smaller than the sum of its proper divisors (12756080544).

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

5123851680 is a wasteful number, since it uses less digits than its factorization.

5123851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5123851680 is about 71581.0846523018. The cubic root of 5123851680 is about 1723.9798412452.

The spelling of 5123851680 in words is "five billion, one hundred twenty-three million, eight hundred fifty-one thousand, six hundred eighty".