5187785520 has 240 divisors, whose sum is σ = 16879919616. Its totient is φ = 1317772800.

The previous prime is 5187785461. The next prime is 5187785527. The reversal of 5187785520 is 255877815.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5187785520.

It is not an unprimeable number, because it can be changed into a prime (5187785527) 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, 19142985 + ... + 19143255.

Almost surely, 2^5187785520 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 5187785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439959808).

5187785520 is an abundant number, since it is smaller than the sum of its proper divisors (11692134096).

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

5187785520 is a wasteful number, since it uses less digits than its factorization.

5187785520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 48.

The square root of 5187785520 is about 72026.2835359426. The cubic root of 5187785520 is about 1731.1206522850.

The spelling of 5187785520 in words is "five billion, one hundred eighty-seven million, seven hundred eighty-five thousand, five hundred twenty".