6125708160 has 1024 divisors, whose sum is σ = 26567654400. Its totient is φ = 1313832960.

The previous prime is 6125708137. The next prime is 6125708213. The reversal of 6125708160 is 618075216.

6125708160 is a `hidden beast` number, since 6 + 1 + 2 + 570 + 81 + 6 + 0 = 666.

It is a super-2 number, since 2×6125708160² = 75048600922981171200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 91428447 + ... + 91428513.

It is an arithmetic number, because the mean of its divisors is an integer number (25944975).

Almost surely, 2^6125708160 is an apocalyptic number.

6125708160 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 6125708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283827200).

6125708160 is an abundant number, since it is smaller than the sum of its proper divisors (20441946240).

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

6125708160 is a wasteful number, since it uses less digits than its factorization.

6125708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6125708160 is about 78266.9033500112. The cubic root of 6125708160 is about 1829.7233658705.

The spelling of 6125708160 in words is "six billion, one hundred twenty-five million, seven hundred eight thousand, one hundred sixty".