125966430170280 has 256 divisors, whose sum is σ = 479883123648000. Its totient is φ = 28791666376704.

The previous prime is 125966430170257. The next prime is 125966430170303. The reversal of 125966430170280 is 82071034669521.

It is a happy number.

125966430170280 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 66 + 430 + 1 + 70 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (125966430170257) and next prime (125966430170303).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379172086 + ... + 379504154.

It is an arithmetic number, because the mean of its divisors is an integer number (1874543451750).

It is a 1-persistent number, because it is pandigital, but 2⋅125966430170280 = 251932860340560 is not.

Almost surely, 2^{125966430170280} is an apocalyptic number.

125966430170280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125966430170280 is an abundant number, since it is smaller than the sum of its proper divisors (353916693477720).

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

125966430170280 is a wasteful number, since it uses less digits than its factorization.

125966430170280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382273 (or 382263 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 125966430170280 in words is "one hundred twenty-five trillion, nine hundred sixty-six billion, four hundred thirty million, one hundred seventy thousand, two hundred eighty".