6001391541600 has 1080 divisors, whose sum is σ = 27417699717408. Its totient is φ = 1266218956800.

The previous prime is 6001391541571. The next prime is 6001391541631. The reversal of 6001391541600 is 61451931006.

6001391541600 is a `hidden beast` number, since 6 + 0 + 0 + 1 + 3 + 9 + 1 + 5 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41204905 + ... + 41350295.

Almost surely, 2^{6001391541600} is an apocalyptic number.

6001391541600 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 6001391541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708849858704).

6001391541600 is an abundant number, since it is smaller than the sum of its proper divisors (21416308175808).

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

6001391541600 is a wasteful number, since it uses less digits than its factorization.

6001391541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145450 (or 145421 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 6001391541600 in words is "six trillion, one billion, three hundred ninety-one million, five hundred forty-one thousand, six hundred".