6005165060100 has 72 divisors (see below), whose sum is σ = 17405480665440. Its totient is φ = 1598562932480.

The previous prime is 6005165060093. The next prime is 6005165060101. The reversal of 6005165060100 is 10605615006.

It is a super-2 number, since 2×6005165060100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6005165060101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17419122 + ... + 17760521.

It is an arithmetic number, because the mean of its divisors is an integer number (241742787020).

Almost surely, 2^{6005165060100} is an apocalyptic number.

6005165060100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005165060100 is an abundant number, since it is smaller than the sum of its proper divisors (11400315605340).

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

6005165060100 is a wasteful number, since it uses less digits than its factorization.

6005165060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35180229 (or 35180222 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 6005165060100 in words is "six trillion, five billion, one hundred sixty-five million, sixty thousand, one hundred".