125955624173568 has 512 divisors, whose sum is σ = 393604594099200. Its totient is φ = 35077154144256.

The previous prime is 125955624173551. The next prime is 125955624173569. The reversal of 125955624173568 is 865371426559521.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (125955624173569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15061053355 + ... + 15061061717.

It is an arithmetic number, because the mean of its divisors is an integer number (768758972850).

Almost surely, 2^{125955624173568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125955624173568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196802297049600).

125955624173568 is an abundant number, since it is smaller than the sum of its proper divisors (267648969925632).

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

125955624173568 is an frugal number, since it uses more digits than its factorization.

125955624173568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8927 counting only the distinct ones).

The product of its digits is 544320000, while the sum is 69.

The spelling of 125955624173568 in words is "one hundred twenty-five trillion, nine hundred fifty-five billion, six hundred twenty-four million, one hundred seventy-three thousand, five hundred sixty-eight".