6260171097600 has 960 divisors, whose sum is σ = 26349088550400. Its totient is φ = 1426066145280.

The previous prime is 6260171097527. The next prime is 6260171097601. The reversal of 6260171097600 is 67901710626.

It is a happy number.

6260171097600 is a `hidden beast` number, since 6 + 26 + 0 + 1 + 7 + 10 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6260171097601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 742690186 + ... + 742698614.

It is an arithmetic number, because the mean of its divisors is an integer number (27446967240).

Almost surely, 2^{6260171097600} is an apocalyptic number.

6260171097600 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 6260171097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174544275200).

6260171097600 is an abundant number, since it is smaller than the sum of its proper divisors (20088917452800).

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

6260171097600 is a wasteful number, since it uses less digits than its factorization.

6260171097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 6260171097600 in words is "six trillion, two hundred sixty billion, one hundred seventy-one million, ninety-seven thousand, six hundred".