5288269413024 has 1344 divisors, whose sum is σ = 18624797227008. Its totient is φ = 1463281459200.

The previous prime is 5288269413013. The next prime is 5288269413041. The reversal of 5288269413024 is 4203149628825.

5288269413024 is a `hidden beast` number, since 528 + 8 + 2 + 6 + 94 + 1 + 3 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8000407254 + ... + 8000407914.

It is an arithmetic number, because the mean of its divisors is an integer number (13857736032).

Almost surely, 2^{5288269413024} is an apocalyptic number.

5288269413024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5288269413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312398613504).

5288269413024 is an abundant number, since it is smaller than the sum of its proper divisors (13336527813984).

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

5288269413024 is a wasteful number, since it uses less digits than its factorization.

5288269413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5288269413024 in words is "five trillion, two hundred eighty-eight billion, two hundred sixty-nine million, four hundred thirteen thousand, twenty-four".