125730105845760 has 1920 divisors, whose sum is σ = 514786356564480. Its totient is φ = 29114538393600.

The previous prime is 125730105845753. The next prime is 125730105845767. The reversal of 125730105845760 is 67548501037521.

125730105845760 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 0 + 1 + 0 + 584 + 57 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125730105845753) and next prime (125730105845767).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125730105845697 and 125730105845706.

It is not an unprimeable number, because it can be changed into a prime (125730105845767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15128152005 + ... + 15128160315.

It is an arithmetic number, because the mean of its divisors is an integer number (268117894044).

Almost surely, 2^{125730105845760} is an apocalyptic number.

125730105845760 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 125730105845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257393178282240).

125730105845760 is an abundant number, since it is smaller than the sum of its proper divisors (389056250718720).

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

125730105845760 is a wasteful number, since it uses less digits than its factorization.

125730105845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 125730105845760 in words is "one hundred twenty-five trillion, seven hundred thirty billion, one hundred five million, eight hundred forty-five thousand, seven hundred sixty".