125861030830080 has 2016 divisors, whose sum is σ = 548083552633344. Its totient is φ = 26481521590272.

The previous prime is 125861030830069. The next prime is 125861030830099. The reversal of 125861030830080 is 80038030168521.

125861030830080 is a `hidden beast` number, since 1 + 2 + 586 + 1 + 0 + 30 + 8 + 30 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×125861030830080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142537973319 + ... + 142537974201.

It is an arithmetic number, because the mean of its divisors is an integer number (271866841584).

Almost surely, 2^{125861030830080} is an apocalyptic number.

125861030830080 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 125861030830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274041776316672).

125861030830080 is an abundant number, since it is smaller than the sum of its proper divisors (422222521803264).

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

125861030830080 is a wasteful number, since it uses less digits than its factorization.

125861030830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 125861030830080 in words is "one hundred twenty-five trillion, eight hundred sixty-one billion, thirty million, eight hundred thirty thousand, eighty".