125528978688 has 432 divisors, whose sum is σ = 373013484480. Its totient is φ = 37357092864.

The previous prime is 125528978681. The next prime is 125528978699. The reversal of 125528978688 is 886879825521.

125528978688 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125528978681) 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, 650409120 + ... + 650409312.

It is an arithmetic number, because the mean of its divisors is an integer number (863457140).

Almost surely, 2^125528978688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125528978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186506742240).

125528978688 is an abundant number, since it is smaller than the sum of its proper divisors (247484505792).

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

125528978688 is a wasteful number, since it uses less digits than its factorization.

125528978688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 299 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 69.

The spelling of 125528978688 in words is "one hundred twenty-five billion, five hundred twenty-eight million, nine hundred seventy-eight thousand, six hundred eighty-eight".