125691495713280 has 1440 divisors, whose sum is σ = 506016089504640. Its totient is φ = 28244303216640.

The previous prime is 125691495713279. The next prime is 125691495713281. The reversal of 125691495713280 is 82317594196521.

It is a happy number.

125691495713280 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 1 + 495 + 7 + 132 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125691495713279) and next prime (125691495713281).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (125691495713281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 548871160206 + ... + 548871160434.

It is an arithmetic number, because the mean of its divisors is an integer number (351400062156).

It is a 1-persistent number, because it is pandigital, but 2⋅125691495713280 = 251382991426560 is not.

Almost surely, 2^{125691495713280} is an apocalyptic number.

125691495713280 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 125691495713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253008044752320).

125691495713280 is an abundant number, since it is smaller than the sum of its proper divisors (380324593791360).

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

125691495713280 is a wasteful number, since it uses less digits than its factorization.

125691495713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 125691495713280 in words is "one hundred twenty-five trillion, six hundred ninety-one billion, four hundred ninety-five million, seven hundred thirteen thousand, two hundred eighty".