5130026588448 has 216 divisors, whose sum is σ = 15403060085868. Its totient is φ = 1619343581184.

The previous prime is 5130026588399. The next prime is 5130026588507. The reversal of 5130026588448 is 8448856200315.

5130026588448 is a `hidden beast` number, since 5 + 1 + 30 + 0 + 26 + 588 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4892183101584 + 237843486864 = 2211828^2 + 487692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5130026588394 and 5130026588403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294532636 + ... + 294550052.

Almost surely, 2^{5130026588448} 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 5130026588448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701530042934).

5130026588448 is an abundant number, since it is smaller than the sum of its proper divisors (10273033497420).

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

5130026588448 is a wasteful number, since it uses less digits than its factorization.

5130026588448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20304 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5130026588448 in words is "five trillion, one hundred thirty billion, twenty-six million, five hundred eighty-eight thousand, four hundred forty-eight".