125395648840000 has 1120 divisors, whose sum is σ = 398949373734912. Its totient is φ = 37957248000000.

The previous prime is 125395648839943. The next prime is 125395648840037. The reversal of 125395648840000 is 48846593521.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (55).

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 159 ways as a sum of consecutive naturals, for example, 23971637385 + ... + 23971642615.

Almost surely, 2^{125395648840000} is an apocalyptic number.

125395648840000 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 125395648840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199474686867456).

125395648840000 is an abundant number, since it is smaller than the sum of its proper divisors (273553724894912).

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

125395648840000 is a wasteful number, since it uses less digits than its factorization.

125395648840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 125395648840000 in words is "one hundred twenty-five trillion, three hundred ninety-five billion, six hundred forty-eight million, eight hundred forty thousand".