125601606351504 has 160 divisors (see below), whose sum is σ = 361203374004480. Its totient is φ = 41788219852800.

The previous prime is 125601606351497. The next prime is 125601606351569. The reversal of 125601606351504 is 405153606106521.

125601606351504 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 1 + 6 + 0 + 635 + 1 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125601606351504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4100458269 + ... + 4100488899.

It is an arithmetic number, because the mean of its divisors is an integer number (2257521087528).

Almost surely, 2^{125601606351504} 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 125601606351504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180601687002240).

125601606351504 is an abundant number, since it is smaller than the sum of its proper divisors (235601767652976).

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

125601606351504 is a wasteful number, since it uses less digits than its factorization.

125601606351504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48246 (or 48234 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 125601606351504 in words is "one hundred twenty-five trillion, six hundred one billion, six hundred six million, three hundred fifty-one thousand, five hundred four".