6180125600 has 288 divisors, whose sum is σ = 17633246400. Its totient is φ = 2090188800.

The previous prime is 6180125543. The next prime is 6180125629. The reversal of 6180125600 is 65210816.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16306211 + ... + 16306589.

It is an arithmetic number, because the mean of its divisors is an integer number (61226550).

Almost surely, 2^6180125600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6180125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816623200).

6180125600 is an abundant number, since it is smaller than the sum of its proper divisors (11453120800).

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

6180125600 is a wasteful number, since it uses less digits than its factorization.

6180125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 6180125600 is about 78613.7748743819. The cubic root of 6180125600 is about 1835.1254879324.

The spelling of 6180125600 in words is "six billion, one hundred eighty million, one hundred twenty-five thousand, six hundred".