125905392809280 has 896 divisors, whose sum is σ = 517853518479360. Its totient is φ = 28202987151360.

The previous prime is 125905392809237. The next prime is 125905392809299. The reversal of 125905392809280 is 82908293509521.

125905392809280 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 5 + 392 + 80 + 92 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 717023574 + ... + 717199146.

It is an arithmetic number, because the mean of its divisors is an integer number (577961516160).

Almost surely, 2^{125905392809280} is an apocalyptic number.

125905392809280 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 125905392809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258926759239680).

125905392809280 is an abundant number, since it is smaller than the sum of its proper divisors (391948125670080).

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

125905392809280 is a wasteful number, since it uses less digits than its factorization.

125905392809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175844 (or 175828 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 125905392809280 in words is "one hundred twenty-five trillion, nine hundred five billion, three hundred ninety-two million, eight hundred nine thousand, two hundred eighty".