6125509920 has 192 divisors, whose sum is σ = 20026621440. Its totient is φ = 1571942400.

The previous prime is 6125509919. The next prime is 6125509931. The reversal of 6125509920 is 299055216.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5999010 + ... + 6000030.

It is an arithmetic number, because the mean of its divisors is an integer number (104305320).

Almost surely, 2^6125509920 is an apocalyptic number.

6125509920 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 6125509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013310720).

6125509920 is an abundant number, since it is smaller than the sum of its proper divisors (13901111520).

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

6125509920 is a wasteful number, since it uses less digits than its factorization.

6125509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 6125509920 is about 78265.6369040718. The cubic root of 6125509920 is about 1829.7036278384.

The spelling of 6125509920 in words is "six billion, one hundred twenty-five million, five hundred nine thousand, nine hundred twenty".