125875375897600 has 792 divisors, whose sum is σ = 372576911661600. Its totient is φ = 42148177182720.

The previous prime is 125875375897591. The next prime is 125875375897619. The reversal of 125875375897600 is 6798573578521.

It is a super-3 number, since 3×125875375897600³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16235695324 + ... + 16235703076.

Almost surely, 2^{125875375897600} is an apocalyptic number.

125875375897600 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 125875375897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186288455830800).

125875375897600 is an abundant number, since it is smaller than the sum of its proper divisors (246701535764000).

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

125875375897600 is an frugal number, since it uses more digits than its factorization.

125875375897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 73.

The spelling of 125875375897600 in words is "one hundred twenty-five trillion, eight hundred seventy-five billion, three hundred seventy-five million, eight hundred ninety-seven thousand, six hundred".