125951673720 has 128 divisors (see below), whose sum is σ = 380631859200. Its totient is φ = 33340709376.

The previous prime is 125951673719. The next prime is 125951673733. The reversal of 125951673720 is 27376159521.

125951673720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125951673720² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125951673720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24093747 + ... + 24098973.

It is an arithmetic number, because the mean of its divisors is an integer number (2973686400).

Almost surely, 2^125951673720 is an apocalyptic number.

125951673720 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 125951673720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190315929600).

125951673720 is an abundant number, since it is smaller than the sum of its proper divisors (254680185480).

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

125951673720 is a wasteful number, since it uses less digits than its factorization.

125951673720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 125951673720 in words is "one hundred twenty-five billion, nine hundred fifty-one million, six hundred seventy-three thousand, seven hundred twenty".