125382789955584 has 480 divisors, whose sum is σ = 429296805537600. Its totient is φ = 35823399469056.

The previous prime is 125382789955517. The next prime is 125382789955609. The reversal of 125382789955584 is 485559987283521.

125382789955584 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 8 + 27 + 8 + 9 + 9 + 5 + 5 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891743592 + ... + 891884184.

It is an arithmetic number, because the mean of its divisors is an integer number (894368344870).

Almost surely, 2^{125382789955584} is an apocalyptic number.

125382789955584 is a gapful number since it is divisible by the number (14) 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 125382789955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214648402768800).

125382789955584 is an abundant number, since it is smaller than the sum of its proper divisors (303914015582016).

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

125382789955584 is an frugal number, since it uses more digits than its factorization.

125382789955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140653 (or 140605 counting only the distinct ones).

The product of its digits is 8709120000, while the sum is 81.

The spelling of 125382789955584 in words is "one hundred twenty-five trillion, three hundred eighty-two billion, seven hundred eighty-nine million, nine hundred fifty-five thousand, five hundred eighty-four".