6581409953160 has 1024 divisors, whose sum is σ = 24348211200000. Its totient is φ = 1420961439744.

The previous prime is 6581409953081. The next prime is 6581409953179. The reversal of 6581409953160 is 613599041856.

It is a self number, because there is not a number n which added to its sum of digits gives 6581409953160.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7996852509 + ... + 7996853331.

It is an arithmetic number, because the mean of its divisors is an integer number (23777550000).

Almost surely, 2^{6581409953160} is an apocalyptic number.

6581409953160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6581409953160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174105600000).

6581409953160 is an abundant number, since it is smaller than the sum of its proper divisors (17766801246840).

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

6581409953160 is a wasteful number, since it uses less digits than its factorization.

6581409953160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 6581409953160 in words is "six trillion, five hundred eighty-one billion, four hundred nine million, nine hundred fifty-three thousand, one hundred sixty".