125189513679360 has 320 divisors, whose sum is σ = 431032294167552. Its totient is φ = 30813643800576.

The previous prime is 125189513679331. The next prime is 125189513679383. The reversal of 125189513679360 is 63976315981521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 125189513679291 and 125189513679300.

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 31 ways as a sum of consecutive naturals, for example, 1689954642 + ... + 1690028718.

Almost surely, 2^{125189513679360} is an apocalyptic number.

125189513679360 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 125189513679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215516147083776).

125189513679360 is an abundant number, since it is smaller than the sum of its proper divisors (305842780488192).

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

125189513679360 is a wasteful number, since it uses less digits than its factorization.

125189513679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91043 (or 91027 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 125189513679360 in words is "one hundred twenty-five trillion, one hundred eighty-nine billion, five hundred thirteen million, six hundred seventy-nine thousand, three hundred sixty".