6081137112960 has 2048 divisors, whose sum is σ = 27266803200000. Its totient is φ = 1280305668096.

The previous prime is 6081137112847. The next prime is 6081137112983. The reversal of 6081137112960 is 692117311806.

6081137112960 is a `hidden beast` number, since 608 + 1 + 1 + 3 + 7 + 11 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13021706647 + ... + 13021707113.

It is an arithmetic number, because the mean of its divisors is an integer number (13313868750).

Almost surely, 2^{6081137112960} is an apocalyptic number.

6081137112960 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 6081137112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633401600000).

6081137112960 is an abundant number, since it is smaller than the sum of its proper divisors (21185666087040).

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

6081137112960 is an equidigital number, since it uses as much as digits as its factorization.

6081137112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 6081137112960 in words is "six trillion, eighty-one billion, one hundred thirty-seven million, one hundred twelve thousand, nine hundred sixty".