125858109081600 has 3888 divisors, whose sum is σ = 563673912443460. Its totient is φ = 26741204582400.

The previous prime is 125858109081599. The next prime is 125858109081629. The reversal of 125858109081600 is 6180901858521.

125858109081600 is a `hidden beast` number, since 1 + 2 + 58 + 581 + 0 + 9 + 0 + 8 + 1 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51210167952384 + 74647941129216 = 7156128^2 + 8639904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 489720268672 + ... + 489720268928.

Almost surely, 2^{125858109081600} is an apocalyptic number.

125858109081600 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 125858109081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281836956221730).

125858109081600 is an abundant number, since it is smaller than the sum of its proper divisors (437815803361860).

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

125858109081600 is a wasteful number, since it uses less digits than its factorization.

125858109081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 125858109081600 in words is "one hundred twenty-five trillion, eight hundred fifty-eight billion, one hundred nine million, eighty-one thousand, six hundred".