5438816256 has 240 divisors, whose sum is σ = 16080470784. Its totient is φ = 1626341376.

The previous prime is 5438816249. The next prime is 5438816311. The reversal of 5438816256 is 6526188345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19218291 + ... + 19218573.

Almost surely, 2^5438816256 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 5438816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040235392).

5438816256 is an abundant number, since it is smaller than the sum of its proper divisors (10641654528).

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

5438816256 is a wasteful number, since it uses less digits than its factorization.

5438816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 5438816256 is about 73748.3305302568. The cubic root of 5438816256 is about 1758.6042929244.

The spelling of 5438816256 in words is "five billion, four hundred thirty-eight million, eight hundred sixteen thousand, two hundred fifty-six".