125985060864 has 288 divisors, whose sum is σ = 393065946000. Its totient is φ = 38645268480.

The previous prime is 125985060857. The next prime is 125985060907. The reversal of 125985060864 is 468060589521.

125985060864 is a `hidden beast` number, since 1 + 2 + 59 + 8 + 506 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 125985060864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107586999 + ... + 107588169.

Almost surely, 2^125985060864 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 125985060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196532973000).

125985060864 is an abundant number, since it is smaller than the sum of its proper divisors (267080885136).

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

125985060864 is a wasteful number, since it uses less digits than its factorization.

125985060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 125985060864 in words is "one hundred twenty-five billion, nine hundred eighty-five million, sixty thousand, eight hundred sixty-four".