5308495448256 has 896 divisors, whose sum is σ = 21038702469120. Its totient is φ = 1267591680000.

The previous prime is 5308495448239. The next prime is 5308495448327. The reversal of 5308495448256 is 6528445948035.

5308495448256 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 4 + 9 + 544 + 82 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5308495448193 and 5308495448202.

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, 434155615 + ... + 434167841.

It is an arithmetic number, because the mean of its divisors is an integer number (23480694720).

Almost surely, 2^{5308495448256} is an apocalyptic number.

5308495448256 is a gapful number since it is divisible by the number (56) 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 5308495448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519351234560).

5308495448256 is an abundant number, since it is smaller than the sum of its proper divisors (15730207020864).

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

5308495448256 is a wasteful number, since it uses less digits than its factorization.

5308495448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 5308495448256 in words is "five trillion, three hundred eight billion, four hundred ninety-five million, four hundred forty-eight thousand, two hundred fifty-six".