6005959641960 has 64 divisors (see below), whose sum is σ = 18018049406400. Its totient is φ = 1601574084096.

The previous prime is 6005959641953. The next prime is 6005959642043. The reversal of 6005959641960 is 691469595006.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6005959641894 and 6005959641903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18950076 + ... + 19264404.

It is an arithmetic number, because the mean of its divisors is an integer number (281532021975).

Almost surely, 2^{6005959641960} is an apocalyptic number.

6005959641960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005959641960 is an abundant number, since it is smaller than the sum of its proper divisors (12012089764440).

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

6005959641960 is a wasteful number, since it uses less digits than its factorization.

6005959641960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473570 (or 473566 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 6005959641960 in words is "six trillion, five billion, nine hundred fifty-nine million, six hundred forty-one thousand, nine hundred sixty".