6512965691008 has 128 divisors (see below), whose sum is σ = 15035616000000. Its totient is φ = 2752328097792.

The previous prime is 6512965691003. The next prime is 6512965691129. The reversal of 6512965691008 is 8001965692156.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6512965691003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313882618 + ... + 313903366.

It is an arithmetic number, because the mean of its divisors is an integer number (117465750000).

Almost surely, 2^{6512965691008} 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 6512965691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517808000000).

6512965691008 is an abundant number, since it is smaller than the sum of its proper divisors (8522650308992).

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

6512965691008 is a wasteful number, since it uses less digits than its factorization.

6512965691008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25642 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 6512965691008 in words is "six trillion, five hundred twelve billion, nine hundred sixty-five million, six hundred ninety-one thousand, eight".