6010105056012 has 240 divisors, whose sum is σ = 16082885871360. Its totient is φ = 1956405889152.

The previous prime is 6010105055909. The next prime is 6010105056097. The reversal of 6010105056012 is 2106505010106.

It is a happy number.

6010105056012 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 1 + 0 + 50 + 5 + 601 + 2 = 666.

It is a super-2 number, since 2×6010105056012² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4914230833 + ... + 4914232055.

It is an arithmetic number, because the mean of its divisors is an integer number (67012024464).

Almost surely, 2^{6010105056012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6010105056012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041442935680).

6010105056012 is an abundant number, since it is smaller than the sum of its proper divisors (10072780815348).

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

6010105056012 is a wasteful number, since it uses less digits than its factorization.

6010105056012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 6010105056012 in words is "six trillion, ten billion, one hundred five million, fifty-six thousand, twelve".