5106987360 has 192 divisors, whose sum is σ = 18007012800. Its totient is φ = 1351766016.

The previous prime is 5106987317. The next prime is 5106987397. The reversal of 5106987360 is 637896015.

It is a happy number.

5106987360 is a `hidden beast` number, since 510 + 6 + 9 + 8 + 73 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 587526 + ... + 596154.

It is an arithmetic number, because the mean of its divisors is an integer number (93786525).

Almost surely, 2^5106987360 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 5106987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003506400).

5106987360 is an abundant number, since it is smaller than the sum of its proper divisors (12900025440).

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

5106987360 is a wasteful number, since it uses less digits than its factorization.

5106987360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5106987360 is about 71463.1888457267. The cubic root of 5106987360 is about 1722.0863631126.

The spelling of 5106987360 in words is "five billion, one hundred six million, nine hundred eighty-seven thousand, three hundred sixty".