5258131433280 has 1176 divisors, whose sum is σ = 20836058581800. Its totient is φ = 1262265016320.

The previous prime is 5258131433273. The next prime is 5258131433281. The reversal of 5258131433280 is 823341318525.

5258131433280 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 1 + 314 + 3 + 328 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333353807424 + 4924777625856 = 577368^2 + 2219184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258131433281) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3076729066 + ... + 3076730774.

Almost surely, 2^{5258131433280} 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 5258131433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418029290900).

5258131433280 is an abundant number, since it is smaller than the sum of its proper divisors (15577927148520).

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

5258131433280 is a wasteful number, since it uses less digits than its factorization.

5258131433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5258131433280 in words is "five trillion, two hundred fifty-eight billion, one hundred thirty-one million, four hundred thirty-three thousand, two hundred eighty".