125968296960 has 880 divisors, whose sum is σ = 502689683232. Its totient is φ = 29904076800.

The previous prime is 125968296953. The next prime is 125968296977. The reversal of 125968296960 is 69692869521.

125968296960 is a `hidden beast` number, since 1 + 259 + 6 + 8 + 296 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241781500 + ... + 241782020.

Almost surely, 2^125968296960 is an apocalyptic number.

125968296960 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 125968296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251344841616).

125968296960 is an abundant number, since it is smaller than the sum of its proper divisors (376721386272).

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

125968296960 is a wasteful number, since it uses less digits than its factorization.

125968296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 125968296960 in words is "one hundred twenty-five billion, nine hundred sixty-eight million, two hundred ninety-six thousand, nine hundred sixty".