125980311744 has 448 divisors, whose sum is σ = 439458201600. Its totient is φ = 34631193600.

The previous prime is 125980311733. The next prime is 125980311761. The reversal of 125980311744 is 447113089521.

125980311744 is a `hidden beast` number, since 1 + 2 + 598 + 0 + 3 + 1 + 17 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 125980311744.

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, 71619537 + ... + 71621295.

Almost surely, 2^125980311744 is an apocalyptic number.

125980311744 is a gapful number since it is divisible by the number (14) 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 125980311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219729100800).

125980311744 is an abundant number, since it is smaller than the sum of its proper divisors (313477889856).

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

125980311744 is a wasteful number, since it uses less digits than its factorization.

125980311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125980311744 in words is "one hundred twenty-five billion, nine hundred eighty million, three hundred eleven thousand, seven hundred forty-four".