125209509965568 has 720 divisors, whose sum is σ = 437346551093760. Its totient is φ = 34888629215232.

The previous prime is 125209509965563. The next prime is 125209509965591. The reversal of 125209509965568 is 865569905902521.

125209509965568 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 0 + 9 + 50 + 9 + 9 + 6 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 125209509965496 and 125209509965505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125209509965563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1284691623 + ... + 1284789081.

It is an arithmetic number, because the mean of its divisors is an integer number (607425765408).

Almost surely, 2^{125209509965568} is an apocalyptic number.

125209509965568 is a gapful number since it is divisible by the number (18) 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 125209509965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218673275546880).

125209509965568 is an abundant number, since it is smaller than the sum of its proper divisors (312137041128192).

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

125209509965568 is an equidigital number, since it uses as much as digits as its factorization.

125209509965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97714 (or 97691 counting only the distinct ones).

The product of its (nonzero) digits is 524880000, while the sum is 72.

The spelling of 125209509965568 in words is "one hundred twenty-five trillion, two hundred nine billion, five hundred nine million, nine hundred sixty-five thousand, five hundred sixty-eight".