125295866080 has 384 divisors, whose sum is σ = 375580800000. Its totient is φ = 38368788480.

The previous prime is 125295865963. The next prime is 125295866089. The reversal of 125295866080 is 80668592521.

125295866080 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 (125295866089) 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 63 ways as a sum of consecutive naturals, for example, 251093671 + ... + 251094169.

It is an arithmetic number, because the mean of its divisors is an integer number (978075000).

Almost surely, 2^125295866080 is an apocalyptic number.

125295866080 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 125295866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790400000).

125295866080 is an abundant number, since it is smaller than the sum of its proper divisors (250284933920).

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

125295866080 is a wasteful number, since it uses less digits than its factorization.

125295866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 125295866080 in words is "one hundred twenty-five billion, two hundred ninety-five million, eight hundred sixty-six thousand, eighty".