125858058624 has 288 divisors, whose sum is σ = 385336183440. Its totient is φ = 39400058880.

The previous prime is 125858058611. The next prime is 125858058719. The reversal of 125858058624 is 426850858521.

125858058624 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 5 + 8 + 0 + 5 + 8 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35845029 + ... + 35848539.

Almost surely, 2^125858058624 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 125858058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192668091720).

125858058624 is an abundant number, since it is smaller than the sum of its proper divisors (259478124816).

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

125858058624 is a wasteful number, since it uses less digits than its factorization.

125858058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 125858058624 in words is "one hundred twenty-five billion, eight hundred fifty-eight million, fifty-eight thousand, six hundred twenty-four".