5186850480 has 240 divisors, whose sum is σ = 20246204160. Its totient is φ = 1165404672.

The previous prime is 5186850397. The next prime is 5186850481. The reversal of 5186850480 is 840586815.

5186850480 is a `hidden beast` number, since 5 + 1 + 8 + 68 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (5186850481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288639 + ... + 306081.

It is an arithmetic number, because the mean of its divisors is an integer number (84359184).

Almost surely, 2^5186850480 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 5186850480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10123102080).

5186850480 is an abundant number, since it is smaller than the sum of its proper divisors (15059353680).

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

5186850480 is a wasteful number, since it uses less digits than its factorization.

5186850480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17528 (or 17519 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5186850480 is about 72019.7922796227. The cubic root of 5186850480 is about 1731.0166410258.

The spelling of 5186850480 in words is "five billion, one hundred eighty-six million, eight hundred fifty thousand, four hundred eighty".