125727042272832 has 3360 divisors, whose sum is σ = 527648560306560. Its totient is φ = 29075362283520.

The previous prime is 125727042272827. The next prime is 125727042272861. The reversal of 125727042272832 is 238272240727521.

125727042272832 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 70 + 422 + 72 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 186815812848 + ... + 186815813520.

It is an arithmetic number, because the mean of its divisors is an integer number (157038261996).

Almost surely, 2^{125727042272832} is an apocalyptic number.

125727042272832 is a gapful number since it is divisible by the number (12) 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 125727042272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263824280153280).

125727042272832 is an abundant number, since it is smaller than the sum of its proper divisors (401921518033728).

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

125727042272832 is a wasteful number, since it uses less digits than its factorization.

125727042272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 125727042272832 in words is "one hundred twenty-five trillion, seven hundred twenty-seven billion, forty-two million, two hundred seventy-two thousand, eight hundred thirty-two".