125693302949280 has 1536 divisors, whose sum is σ = 495128233958400. Its totient is φ = 29768243281920.

The previous prime is 125693302949237. The next prime is 125693302949303. The reversal of 125693302949280 is 82949203396521.

125693302949280 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 3 + 302 + 9 + 49 + 280 = 666.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 84414574776 + ... + 84414576264.

It is an arithmetic number, because the mean of its divisors is an integer number (322349110650).

Almost surely, 2^{125693302949280} is an apocalyptic number.

125693302949280 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 125693302949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247564116979200).

125693302949280 is an abundant number, since it is smaller than the sum of its proper divisors (369434931009120).

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

125693302949280 is a wasteful number, since it uses less digits than its factorization.

125693302949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 125693302949280 in words is "one hundred twenty-five trillion, six hundred ninety-three billion, three hundred two million, nine hundred forty-nine thousand, two hundred eighty".