125772106337280 has 704 divisors, whose sum is σ = 481675181232000. Its totient is φ = 30938616299520.

The previous prime is 125772106337239. The next prime is 125772106337357. The reversal of 125772106337280 is 82733601277521.

125772106337280 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 21 + 0 + 6 + 337 + 280 = 666.

It is a super-3 number, since 3×125772106337280³ (a number of 43 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 2783716290 + ... + 2783761470.

Almost surely, 2^{125772106337280} is an apocalyptic number.

125772106337280 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 125772106337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240837590616000).

125772106337280 is an abundant number, since it is smaller than the sum of its proper divisors (355903074894720).

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

125772106337280 is a wasteful number, since it uses less digits than its factorization.

125772106337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46777 (or 46753 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 125772106337280 in words is "one hundred twenty-five trillion, seven hundred seventy-two billion, one hundred six million, three hundred thirty-seven thousand, two hundred eighty".