125993038860 has 432 divisors, whose sum is σ = 423012844800. Its totient is φ = 30334846464.

The previous prime is 125993038817. The next prime is 125993038867. The reversal of 125993038860 is 68830399521.

125993038860 is a `hidden beast` number, since 1 + 259 + 9 + 3 + 0 + 388 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125993038797 and 125993038806.

It is not an unprimeable number, because it can be changed into a prime (125993038867) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 350955361 + ... + 350955719.

It is an arithmetic number, because the mean of its divisors is an integer number (979196400).

Almost surely, 2^125993038860 is an apocalyptic number.

125993038860 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 125993038860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211506422400).

125993038860 is an abundant number, since it is smaller than the sum of its proper divisors (297019805940).

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

125993038860 is a wasteful number, since it uses less digits than its factorization.

125993038860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 125993038860 in words is "one hundred twenty-five billion, nine hundred ninety-three million, thirty-eight thousand, eight hundred sixty".