6002597986560 has 216 divisors, whose sum is σ = 23735273190720. Its totient is φ = 1372022378496.

The previous prime is 6002597986529. The next prime is 6002597986571. The reversal of 6002597986560 is 656897952006.

6002597986560 is a `hidden beast` number, since 60 + 0 + 2 + 5 + 9 + 7 + 9 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37137850 + ... + 37299129.

Almost surely, 2^{6002597986560} is an apocalyptic number.

6002597986560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002597986560 is an abundant number, since it is smaller than the sum of its proper divisors (17732675204160).

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

6002597986560 is a wasteful number, since it uses less digits than its factorization.

6002597986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74437013 (or 74436996 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 6002597986560 in words is "six trillion, two billion, five hundred ninety-seven million, nine hundred eighty-six thousand, five hundred sixty".