6505591311072 has 672 divisors, whose sum is σ = 23134508651520. Its totient is φ = 1758389990400.

The previous prime is 6505591311071. The next prime is 6505591311073. The reversal of 6505591311072 is 2701131955056.

6505591311072 is a `hidden beast` number, since 6 + 5 + 0 + 559 + 13 + 1 + 10 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (6505591311071) and next prime (6505591311073).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6505591311071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3422193322 + ... + 3422195222.

It is an arithmetic number, because the mean of its divisors is an integer number (34426352160).

Almost surely, 2^{6505591311072} 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 6505591311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567254325760).

6505591311072 is an abundant number, since it is smaller than the sum of its proper divisors (16628917340448).

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

6505591311072 is a wasteful number, since it uses less digits than its factorization.

6505591311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 6505591311072 in words is "six trillion, five hundred five billion, five hundred ninety-one million, three hundred eleven thousand, seventy-two".