125165260000 has 480 divisors, whose sum is σ = 349783733376. Its totient is φ = 43680000000.

The previous prime is 125165259991. The next prime is 125165260007. The reversal of 125165260000 is 62561521.

125165260000 is digitally balanced in base 3, 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 (125165260007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 955459935 + ... + 955460065.

Almost surely, 2^125165260000 is an apocalyptic number.

125165260000 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 125165260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174891866688).

125165260000 is an abundant number, since it is smaller than the sum of its proper divisors (224618473376).

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

125165260000 is a wasteful number, since it uses less digits than its factorization.

125165260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 125165260000 in words is "one hundred twenty-five billion, one hundred sixty-five million, two hundred sixty thousand".