6081158684160 has 480 divisors, whose sum is σ = 24899443208640. Its totient is φ = 1342047780864.

The previous prime is 6081158684147. The next prime is 6081158684173. The reversal of 6081158684160 is 614868511806.

6081158684160 is a `hidden beast` number, since 6 + 0 + 8 + 11 + 586 + 8 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6081158684147) and next prime (6081158684173).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 6081158684097 and 6081158684106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4027024 + ... + 5327216.

It is an arithmetic number, because the mean of its divisors is an integer number (51873840018).

Almost surely, 2^{6081158684160} is an apocalyptic number.

6081158684160 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 6081158684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449721604320).

6081158684160 is an abundant number, since it is smaller than the sum of its proper divisors (18818284524480).

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

6081158684160 is a wasteful number, since it uses less digits than its factorization.

6081158684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300258 (or 1300239 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 6081158684160 in words is "six trillion, eighty-one billion, one hundred fifty-eight million, six hundred eighty-four thousand, one hundred sixty".