6125191296 has 192 divisors, whose sum is σ = 19538760960. Its totient is φ = 1693440000.

The previous prime is 6125191283. The next prime is 6125191301. The reversal of 6125191296 is 6921915216.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578046 + ... + 588546.

It is an arithmetic number, because the mean of its divisors is an integer number (101764380).

Almost surely, 2^6125191296 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 6125191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769380480).

6125191296 is an abundant number, since it is smaller than the sum of its proper divisors (13413569664).

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

6125191296 is a wasteful number, since it uses less digits than its factorization.

6125191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563 (or 10544 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 6125191296 is about 78263.6013482641. The cubic root of 6125191296 is about 1829.6719027192.

The spelling of 6125191296 in words is "six billion, one hundred twenty-five million, one hundred ninety-one thousand, two hundred ninety-six".