125905927680 has 960 divisors, whose sum is σ = 505115170560. Its totient is φ = 28707913728.

The previous prime is 125905927627. The next prime is 125905927703. The reversal of 125905927680 is 86729509521.

125905927680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×125905927680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 402255204 + ... + 402255516.

It is an arithmetic number, because the mean of its divisors is an integer number (526161636).

Almost surely, 2^125905927680 is an apocalyptic number.

125905927680 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 125905927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252557585280).

125905927680 is an abundant number, since it is smaller than the sum of its proper divisors (379209242880).

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

125905927680 is a wasteful number, since it uses less digits than its factorization.

125905927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 125905927680 in words is "one hundred twenty-five billion, nine hundred five million, nine hundred twenty-seven thousand, six hundred eighty".