5188723833280 has 224 divisors, whose sum is σ = 13419083639808. Its totient is φ = 1899591782400.

The previous prime is 5188723833263. The next prime is 5188723833283. The reversal of 5188723833280 is 823383278815.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188723833283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775474735 + ... + 775481425.

It is an arithmetic number, because the mean of its divisors is an integer number (59906623392).

Almost surely, 2^{5188723833280} 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 5188723833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709541819904).

5188723833280 is an abundant number, since it is smaller than the sum of its proper divisors (8230359806528).

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

5188723833280 is a wasteful number, since it uses less digits than its factorization.

5188723833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 5188723833280 in words is "five trillion, one hundred eighty-eight billion, seven hundred twenty-three million, eight hundred thirty-three thousand, two hundred eighty".