5257249181184 has 1280 divisors, whose sum is σ = 19816331673600. Its totient is φ = 1219276800000.

The previous prime is 5257249181141. The next prime is 5257249181201. The reversal of 5257249181184 is 4811819427525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2335516059 + ... + 2335518309.

It is an arithmetic number, because the mean of its divisors is an integer number (15481509120).

Almost surely, 2^{5257249181184} 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 5257249181184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908165836800).

5257249181184 is an abundant number, since it is smaller than the sum of its proper divisors (14559082492416).

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

5257249181184 is a wasteful number, since it uses less digits than its factorization.

5257249181184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2318 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 57.

The spelling of 5257249181184 in words is "five trillion, two hundred fifty-seven billion, two hundred forty-nine million, one hundred eighty-one thousand, one hundred eighty-four".