125284238710528 has 288 divisors, whose sum is σ = 270225878630400. Its totient is φ = 57855227609088.

The previous prime is 125284238710517. The next prime is 125284238710571. The reversal of 125284238710528 is 825017832482521.

It is a super-3 number, since 3×125284238710528³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4863694513 + ... + 4863720271.

It is an arithmetic number, because the mean of its divisors is an integer number (938284300800).

Almost surely, 2^{125284238710528} 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 125284238710528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135112939315200).

125284238710528 is an abundant number, since it is smaller than the sum of its proper divisors (144941639919872).

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

125284238710528 is a wasteful number, since it uses less digits than its factorization.

125284238710528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26167 (or 26153 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 58.

The spelling of 125284238710528 in words is "one hundred twenty-five trillion, two hundred eighty-four billion, two hundred thirty-eight million, seven hundred ten thousand, five hundred twenty-eight".