5187242723328 has 768 divisors, whose sum is σ = 16707600000000. Its totient is φ = 1585008082944.

The previous prime is 5187242723263. The next prime is 5187242723353. The reversal of 5187242723328 is 8233272427815.

It is a happy number.

5187242723328 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 242 + 72 + 3 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×5187242723328³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4153116048 + ... + 4153117296.

It is an arithmetic number, because the mean of its divisors is an integer number (21754687500).

Almost surely, 2^{5187242723328} 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 5187242723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800000000).

5187242723328 is an abundant number, since it is smaller than the sum of its proper divisors (11520357276672).

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

5187242723328 is a wasteful number, since it uses less digits than its factorization.

5187242723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1399 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 5187242723328 in words is "five trillion, one hundred eighty-seven billion, two hundred forty-two million, seven hundred twenty-three thousand, three hundred twenty-eight".