125830199824000 has 1024 divisors, whose sum is σ = 397979843788800. Its totient is φ = 38587207680000.

The previous prime is 125830199823997. The next prime is 125830199824009. The reversal of 125830199824000 is 428991038521.

It is not an unprimeable number, because it can be changed into a prime (125830199824009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2704664739 + ... + 2704711261.

It is an arithmetic number, because the mean of its divisors is an integer number (388652191200).

Almost surely, 2^{125830199824000} is an apocalyptic number.

125830199824000 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 125830199824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198989921894400).

125830199824000 is an abundant number, since it is smaller than the sum of its proper divisors (272149643964800).

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

125830199824000 is a wasteful number, since it uses less digits than its factorization.

125830199824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46650 (or 46628 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 125830199824000 in words is "one hundred twenty-five trillion, eight hundred thirty billion, one hundred ninety-nine million, eight hundred twenty-four thousand".