125529628160 has 160 divisors (see below), whose sum is σ = 315261821952. Its totient is φ = 47845416960.

The previous prime is 125529628129. The next prime is 125529628187. The reversal of 125529628160 is 61826925521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15952547 + ... + 15960413.

Almost surely, 2^125529628160 is an apocalyptic number.

125529628160 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 125529628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157630910976).

125529628160 is an abundant number, since it is smaller than the sum of its proper divisors (189732193792).

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

125529628160 is an equidigital number, since it uses as much as digits as its factorization.

125529628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 125529628160 in words is "one hundred twenty-five billion, five hundred twenty-nine million, six hundred twenty-eight thousand, one hundred sixty".