125288166264480 has 768 divisors, whose sum is σ = 473003854041600. Its totient is φ = 30869460910080.

The previous prime is 125288166264467. The next prime is 125288166264509. The reversal of 125288166264480 is 84462661882521.

125288166264480 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 8 + 8 + 166 + 26 + 448 + 0 = 666.

125288166264480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 17085522894 + ... + 17085530226.

It is an arithmetic number, because the mean of its divisors is an integer number (615890434950).

Almost surely, 2^{125288166264480} is an apocalyptic number.

125288166264480 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 125288166264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236501927020800).

125288166264480 is an abundant number, since it is smaller than the sum of its proper divisors (347715687777120).

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

125288166264480 is a wasteful number, since it uses less digits than its factorization.

125288166264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 125288166264480 in words is "one hundred twenty-five trillion, two hundred eighty-eight billion, one hundred sixty-six million, two hundred sixty-four thousand, four hundred eighty".