5187435840 has 336 divisors, whose sum is σ = 18639129600. Its totient is φ = 1322680320.

The previous prime is 5187435839. The next prime is 5187435887. The reversal of 5187435840 is 485347815.

5187435840 is a `hidden beast` number, since 518 + 7 + 43 + 58 + 40 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8659861 + ... + 8660459.

It is an arithmetic number, because the mean of its divisors is an integer number (55473600).

Almost surely, 2^5187435840 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 5187435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319564800).

5187435840 is an abundant number, since it is smaller than the sum of its proper divisors (13451693760).

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

5187435840 is a wasteful number, since it uses less digits than its factorization.

5187435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5187435840 is about 72023.8560478401. The cubic root of 5187435840 is about 1731.0817563136.

The spelling of 5187435840 in words is "five billion, one hundred eighty-seven million, four hundred thirty-five thousand, eight hundred forty".