5178784918272 has 576 divisors, whose sum is σ = 16856112537600. Its totient is φ = 1408264704000.

The previous prime is 5178784918271. The next prime is 5178784918283. The reversal of 5178784918272 is 2728194878715.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 5178784918197 and 5178784918206.

It is not an unprimeable number, because it can be changed into a prime (5178784918271) by changing a digit.

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, 1278394647 + ... + 1278398697.

Almost surely, 2^{5178784918272} 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 5178784918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428056268800).

5178784918272 is an abundant number, since it is smaller than the sum of its proper divisors (11677327619328).

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

5178784918272 is a wasteful number, since it uses less digits than its factorization.

5178784918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4297 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 69.

The spelling of 5178784918272 in words is "five trillion, one hundred seventy-eight billion, seven hundred eighty-four million, nine hundred eighteen thousand, two hundred seventy-two".