125295188928 has 448 divisors, whose sum is σ = 429860659200. Its totient is φ = 31972147200.

The previous prime is 125295188899. The next prime is 125295188933. The reversal of 125295188928 is 829881592521.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 26537608 + ... + 26542328.

It is an arithmetic number, because the mean of its divisors is an integer number (959510400).

Almost surely, 2^125295188928 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 125295188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214930329600).

125295188928 is an abundant number, since it is smaller than the sum of its proper divisors (304565470272).

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

125295188928 is a wasteful number, since it uses less digits than its factorization.

125295188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4777 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 60.

The spelling of 125295188928 in words is "one hundred twenty-five billion, two hundred ninety-five million, one hundred eighty-eight thousand, nine hundred twenty-eight".