5256378344448 has 880 divisors, whose sum is σ = 20721343826304. Its totient is φ = 1284955176960.

The previous prime is 5256378344429. The next prime is 5256378344453. The reversal of 5256378344448 is 8444438736525.

5256378344448 is a `hidden beast` number, since 5 + 25 + 63 + 78 + 3 + 44 + 448 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108549490 + ... + 108597902.

Almost surely, 2^{5256378344448} 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 5256378344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360671913152).

5256378344448 is an abundant number, since it is smaller than the sum of its proper divisors (15464965481856).

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

5256378344448 is a wasteful number, since it uses less digits than its factorization.

5256378344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48480 (or 48453 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 63.

The spelling of 5256378344448 in words is "five trillion, two hundred fifty-six billion, three hundred seventy-eight million, three hundred forty-four thousand, four hundred forty-eight".