6001372857600 has 1728 divisors, whose sum is σ = 23980607642880. Its totient is φ = 1462999449600.

The previous prime is 6001372857559. The next prime is 6001372857653. The reversal of 6001372857600 is 67582731006.

6001372857600 is a `hidden beast` number, since 6 + 0 + 0 + 1 + 3 + 72 + 8 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19173715044 + ... + 19173715356.

It is an arithmetic number, because the mean of its divisors is an integer number (13877666460).

Almost surely, 2^{6001372857600} is an apocalyptic number.

6001372857600 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 6001372857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990303821440).

6001372857600 is an abundant number, since it is smaller than the sum of its proper divisors (17979234785280).

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

6001372857600 is a wasteful number, since it uses less digits than its factorization.

6001372857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6001372857600 in words is "six trillion, one billion, three hundred seventy-two million, eight hundred fifty-seven thousand, six hundred".