125864708833280 has 64 divisors (see below), whose sum is σ = 302070692289780. Its totient is φ = 50345883467776.

The previous prime is 125864708833271. The next prime is 125864708833309. The reversal of 125864708833280 is 82338807468521.

It is a happy number.

125864708833280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125861832441856 + 2876391424 = 11218816^2 + 53632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383944769 + ... + 384272448.

Almost surely, 2^{125864708833280} is an apocalyptic number.

125864708833280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125864708833280 is an abundant number, since it is smaller than the sum of its proper divisors (176205983456500).

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

125864708833280 is an frugal number, since it uses more digits than its factorization.

125864708833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768217252 (or 768217224 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 65.

The spelling of 125864708833280 in words is "one hundred twenty-five trillion, eight hundred sixty-four billion, seven hundred eight million, eight hundred thirty-three thousand, two hundred eighty".