125966974080 has 512 divisors, whose sum is σ = 431728496640. Its totient is φ = 31167758336.

The previous prime is 125966974033. The next prime is 125966974109. The reversal of 125966974080 is 80479669521.

It is a self number, because there is not a number n which added to its sum of digits gives 125966974080.

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, 250431109 + ... + 250431611.

It is an arithmetic number, because the mean of its divisors is an integer number (843219720).

Almost surely, 2^125966974080 is an apocalyptic number.

125966974080 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 125966974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215864248320).

125966974080 is an abundant number, since it is smaller than the sum of its proper divisors (305761522560).

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

125966974080 is a wasteful number, since it uses less digits than its factorization.

125966974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 125966974080 in words is "one hundred twenty-five billion, nine hundred sixty-six million, nine hundred seventy-four thousand, eighty".