6000197888160 has 288 divisors, whose sum is σ = 23409663863040. Its totient is φ = 1370952658944.

The previous prime is 6000197888159. The next prime is 6000197888231. The reversal of 6000197888160 is 618887910006.

6000197888160 is a `hidden beast` number, since 600 + 0 + 19 + 7 + 8 + 8 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 6000197888097 and 6000197888106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26731276 + ... + 26954804.

It is an arithmetic number, because the mean of its divisors is an integer number (81283555080).

Almost surely, 2^{6000197888160} is an apocalyptic number.

6000197888160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000197888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704831931520).

6000197888160 is an abundant number, since it is smaller than the sum of its proper divisors (17409465974880).

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

6000197888160 is a wasteful number, since it uses less digits than its factorization.

6000197888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226220 (or 226209 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 6000197888160 in words is "six trillion, one hundred ninety-seven million, eight hundred eighty-eight thousand, one hundred sixty".