6508053779136 has 672 divisors, whose sum is σ = 22146030627840. Its totient is φ = 1671287095296.

The previous prime is 6508053779119. The next prime is 6508053779179. The reversal of 6508053779136 is 6319773508056.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6508053779136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705322555 + ... + 705331781.

It is an arithmetic number, because the mean of its divisors is an integer number (32955402720).

Almost surely, 2^{6508053779136} 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 6508053779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073015313920).

6508053779136 is an abundant number, since it is smaller than the sum of its proper divisors (15637976848704).

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

6508053779136 is a wasteful number, since it uses less digits than its factorization.

6508053779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 6508053779136 in words is "six trillion, five hundred eight billion, fifty-three million, seven hundred seventy-nine thousand, one hundred thirty-six".