125895415726080 has 4224 divisors, whose sum is σ = 611854602949440. Its totient is φ = 24147772047360.

The previous prime is 125895415726063. The next prime is 125895415726099. The reversal of 125895415726080 is 80627514598521.

125895415726080 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 9 + 5 + 4 + 15 + 7 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×125895415726080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 125895415725999 and 125895415726017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 9684262748154 + ... + 9684262748166.

Almost surely, 2^{125895415726080} is an apocalyptic number.

125895415726080 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 125895415726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305927301474720).

125895415726080 is an abundant number, since it is smaller than the sum of its proper divisors (485959187223360).

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

125895415726080 is an frugal number, since it uses more digits than its factorization.

125895415726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 125895415726080 in words is "one hundred twenty-five trillion, eight hundred ninety-five billion, four hundred fifteen million, seven hundred twenty-six thousand, eighty".