125627789664000 has 1728 divisors, whose sum is σ = 503637596507136. Its totient is φ = 29859840000000.

The previous prime is 125627789663921. The next prime is 125627789664001. The reversal of 125627789664000 is 466987726521.

125627789664000 is a `hidden beast` number, since 1 + 2 + 56 + 27 + 78 + 96 + 6 + 400 + 0 = 666.

It is a super-3 number, since 3×125627789664000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125627789664001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69754463100 + ... + 69754464900.

Almost surely, 2^{125627789664000} is an apocalyptic number.

125627789664000 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 125627789664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251818798253568).

125627789664000 is an abundant number, since it is smaller than the sum of its proper divisors (378009806843136).

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

125627789664000 is a wasteful number, since it uses less digits than its factorization.

125627789664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 125627789664000 in words is "one hundred twenty-five trillion, six hundred twenty-seven billion, seven hundred eighty-nine million, six hundred sixty-four thousand".