6010865602560 has 1248 divisors, whose sum is σ = 26759869613568. Its totient is φ = 1213008445440.

The previous prime is 6010865602543. The next prime is 6010865602591. The reversal of 6010865602560 is 652065680106.

It is a happy number.

6010865602560 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 8 + 6 + 560 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×6010865602560² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385773970 + ... + 385789550.

It is an arithmetic number, because the mean of its divisors is an integer number (21442203216).

Almost surely, 2^{6010865602560} is an apocalyptic number.

6010865602560 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 6010865602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379934806784).

6010865602560 is an abundant number, since it is smaller than the sum of its proper divisors (20749004011008).

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

6010865602560 is a wasteful number, since it uses less digits than its factorization.

6010865602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6010865602560 in words is "six trillion, ten billion, eight hundred sixty-five million, six hundred two thousand, five hundred sixty".