125585337765888 has 1664 divisors, whose sum is σ = 510197946531840. Its totient is φ = 29468503572480.

The previous prime is 125585337765851. The next prime is 125585337765961. The reversal of 125585337765888 is 888567733585521.

125585337765888 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 8 + 533 + 7 + 76 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5203009756 + ... + 5203033892.

Almost surely, 2^{125585337765888} is an apocalyptic number.

125585337765888 is a gapful number since it is divisible by the number (18) 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 125585337765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255098973265920).

125585337765888 is an abundant number, since it is smaller than the sum of its proper divisors (384612608765952).

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

125585337765888 is a wasteful number, since it uses less digits than its factorization.

125585337765888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24248 (or 24220 counting only the distinct ones).

The product of its digits is 13547520000, while the sum is 81.

The spelling of 125585337765888 in words is "one hundred twenty-five trillion, five hundred eighty-five billion, three hundred thirty-seven million, seven hundred sixty-five thousand, eight hundred eighty-eight".