6530212136448 has 1920 divisors, whose sum is σ = 26358646938624. Its totient is φ = 1501750886400.

The previous prime is 6530212136443. The next prime is 6530212136467. The reversal of 6530212136448 is 8446312120356.

6530212136448 is a `hidden beast` number, since 6 + 5 + 30 + 212 + 1 + 364 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6530212136443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14165318938 + ... + 14165319398.

Almost surely, 2^{6530212136448} 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 6530212136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179323469312).

6530212136448 is an abundant number, since it is smaller than the sum of its proper divisors (19828434802176).

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

6530212136448 is a wasteful number, since it uses less digits than its factorization.

6530212136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6530212136448 in words is "six trillion, five hundred thirty billion, two hundred twelve million, one hundred thirty-six thousand, four hundred forty-eight".