6105312824160 has 384 divisors, whose sum is σ = 22258877760000. Its totient is φ = 1390210744320.

The previous prime is 6105312824089. The next prime is 6105312824189. The reversal of 6105312824160 is 614282135016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44722086 + ... + 44858394.

It is an arithmetic number, because the mean of its divisors is an integer number (57965827500).

Almost surely, 2^{6105312824160} is an apocalyptic number.

6105312824160 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 6105312824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129438880000).

6105312824160 is an abundant number, since it is smaller than the sum of its proper divisors (16153564935840).

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

6105312824160 is a wasteful number, since it uses less digits than its factorization.

6105312824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136854 (or 136846 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 6105312824160 its reverse (614282135016), we get a palindrome (6719594959176).

The spelling of 6105312824160 in words is "six trillion, one hundred five billion, three hundred twelve million, eight hundred twenty-four thousand, one hundred sixty".