125368709688320 has 176 divisors, whose sum is σ = 350714858318400. Its totient is φ = 42983557005312.

The previous prime is 125368709688247. The next prime is 125368709688323. The reversal of 125368709688320 is 23886907863521.

It is a happy number.

It is a super-2 number, since 2×125368709688320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125368709688323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33937829 + ... + 37450148.

Almost surely, 2^{125368709688320} is an apocalyptic number.

125368709688320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125368709688320 is an abundant number, since it is smaller than the sum of its proper divisors (225346148630080).

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

125368709688320 is an frugal number, since it uses more digits than its factorization.

125368709688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71388023 (or 71387991 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 68.

The spelling of 125368709688320 in words is "one hundred twenty-five trillion, three hundred sixty-eight billion, seven hundred nine million, six hundred eighty-eight thousand, three hundred twenty".