125596768000 has 288 divisors, whose sum is σ = 342479067840. Its totient is φ = 45516800000.

The previous prime is 125596767953. The next prime is 125596768001. The reversal of 125596768000 is 867695521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125596768001) by changing a digit.

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, 179167650 + ... + 179168350.

It is an arithmetic number, because the mean of its divisors is an integer number (1189163430).

Almost surely, 2^125596768000 is an apocalyptic number.

125596768000 is a gapful number since it is divisible by the number (10) 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 125596768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171239533920).

125596768000 is an abundant number, since it is smaller than the sum of its proper divisors (216882299840).

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

125596768000 is an equidigital number, since it uses as much as digits as its factorization.

125596768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 125596768000 in words is "one hundred twenty-five billion, five hundred ninety-six million, seven hundred sixty-eight thousand".