125642089947330 has 240 divisors, whose sum is σ = 373007453398272. Its totient is φ = 30322097150400.

The previous prime is 125642089947289. The next prime is 125642089947359. The reversal of 125642089947330 is 33749980246521.

125642089947330 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 208 + 9 + 94 + 7 + 330 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18981945 + ... + 24730515.

It is a 1-persistent number, because it is pandigital, but 2⋅125642089947330 = 251284179894660 is not.

Almost surely, 2^{125642089947330} is an apocalyptic number.

125642089947330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125642089947330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186503726699136).

125642089947330 is an abundant number, since it is smaller than the sum of its proper divisors (247365363450942).

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

125642089947330 is a wasteful number, since it uses less digits than its factorization.

125642089947330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748835 (or 5748815 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 125642089947330 in words is "one hundred twenty-five trillion, six hundred forty-two billion, eighty-nine million, nine hundred forty-seven thousand, three hundred thirty".