125982730720 has 384 divisors, whose sum is σ = 376418617344. Its totient is φ = 38707200000.

The previous prime is 125982730717. The next prime is 125982730747. The reversal of 125982730720 is 27037289521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448336980 + ... + 448337260.

It is an arithmetic number, because the mean of its divisors is an integer number (980256816).

Almost surely, 2^125982730720 is an apocalyptic number.

125982730720 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 125982730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188209308672).

125982730720 is an abundant number, since it is smaller than the sum of its proper divisors (250435886624).

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

125982730720 is a wasteful number, since it uses less digits than its factorization.

125982730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 125982730720 in words is "one hundred twenty-five billion, nine hundred eighty-two million, seven hundred thirty thousand, seven hundred twenty".