6001361457000 has 1024 divisors, whose sum is σ = 24147254476800. Its totient is φ = 1206131097600.

The previous prime is 6001361456969. The next prime is 6001361457017. The reversal of 6001361457000 is 7541631006.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1613701141 + ... + 1613704859.

It is an arithmetic number, because the mean of its divisors is an integer number (23581303200).

Almost surely, 2^{6001361457000} is an apocalyptic number.

6001361457000 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 6001361457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073627238400).

6001361457000 is an abundant number, since it is smaller than the sum of its proper divisors (18145893019800).

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

6001361457000 is a wasteful number, since it uses less digits than its factorization.

6001361457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 6001361457000 in words is "six trillion, one billion, three hundred sixty-one million, four hundred fifty-seven thousand".