6005615120 has 80 divisors (see below), whose sum is σ = 14432076288. Its totient is φ = 2321756160.

The previous prime is 6005615111. The next prime is 6005615201. The reversal of 6005615120 is 215165006.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6005615120² = 72134825939145228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005615120.

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, 3538112 + ... + 3539808.

Almost surely, 2^6005615120 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 6005615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216038144).

6005615120 is an abundant number, since it is smaller than the sum of its proper divisors (8426461168).

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

6005615120 is a wasteful number, since it uses less digits than its factorization.

6005615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 6005615120 is about 77495.9038917542. The cubic root of 6005615120 is about 1817.6872688816.

The spelling of 6005615120 in words is "six billion, five million, six hundred fifteen thousand, one hundred twenty".