125364175399680 has 576 divisors, whose sum is σ = 482290218009600. Its totient is φ = 27111142195200.

The previous prime is 125364175399663. The next prime is 125364175399709. The reversal of 125364175399680 is 86993571463521.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392584080 + ... + 392903280.

It is a 1-persistent number, because it is pandigital, but 2⋅125364175399680 = 250728350799360 is not.

Almost surely, 2^{125364175399680} is an apocalyptic number.

125364175399680 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 125364175399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241145109004800).

125364175399680 is an abundant number, since it is smaller than the sum of its proper divisors (356926042609920).

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

125364175399680 is a wasteful number, since it uses less digits than its factorization.

125364175399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320020 (or 320006 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 125364175399680 in words is "one hundred twenty-five trillion, three hundred sixty-four billion, one hundred seventy-five million, three hundred ninety-nine thousand, six hundred eighty".