125529845760 has 624 divisors, whose sum is σ = 480154847328. Its totient is φ = 30081024000.

The previous prime is 125529845723. The next prime is 125529845761. The reversal of 125529845760 is 67548925521.

125529845760 is a `hidden beast` number, since 1 + 2 + 5 + 529 + 8 + 4 + 57 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125529845697 and 125529845706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125529845761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204779214 + ... + 204779826.

It is an arithmetic number, because the mean of its divisors is an integer number (769478922).

Almost surely, 2^125529845760 is an apocalyptic number.

125529845760 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 125529845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240077423664).

125529845760 is an abundant number, since it is smaller than the sum of its proper divisors (354625001568).

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

125529845760 is a wasteful number, since it uses less digits than its factorization.

125529845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 125529845760 in words is "one hundred twenty-five billion, five hundred twenty-nine million, eight hundred forty-five thousand, seven hundred sixty".