5286029256144 has 480 divisors, whose sum is σ = 18459685171200. Its totient is φ = 1374845322240.

The previous prime is 5286029256143. The next prime is 5286029256163. The reversal of 5286029256144 is 4416529206825.

5286029256144 is a `hidden beast` number, since 5 + 2 + 8 + 602 + 9 + 25 + 6 + 1 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286029256143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054882599 + ... + 1054887609.

It is an arithmetic number, because the mean of its divisors is an integer number (38457677440).

Almost surely, 2^{5286029256144} 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 5286029256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229842585600).

5286029256144 is an abundant number, since it is smaller than the sum of its proper divisors (13173655915056).

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

5286029256144 is a wasteful number, since it uses less digits than its factorization.

5286029256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5286029256144 in words is "five trillion, two hundred eighty-six billion, twenty-nine million, two hundred fifty-six thousand, one hundred forty-four".