6001515106560 has 144 divisors (see below), whose sum is σ = 21297043313280. Its totient is φ = 1600404019200.

The previous prime is 6001515106541. The next prime is 6001515106577. The reversal of 6001515106560 is 656015151006.

6001515106560 is a `hidden beast` number, since 60 + 0 + 15 + 15 + 10 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 86792916 + ... + 86862035.

It is an arithmetic number, because the mean of its divisors is an integer number (147896134120).

Almost surely, 2^{6001515106560} is an apocalyptic number.

6001515106560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6001515106560 is an abundant number, since it is smaller than the sum of its proper divisors (15295528206720).

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

6001515106560 is a wasteful number, since it uses less digits than its factorization.

6001515106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173654981 (or 173654961 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 6001515106560 in words is "six trillion, one billion, five hundred fifteen million, one hundred six thousand, five hundred sixty".