125854671340320 has 576 divisors, whose sum is σ = 434851998142464. Its totient is φ = 30579448872960.

The previous prime is 125854671340313. The next prime is 125854671340327. The reversal of 125854671340320 is 23043176458521.

It is an interprime number because it is at equal distance from previous prime (125854671340313) and next prime (125854671340327).

It is not an unprimeable number, because it can be changed into a prime (125854671340327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013668240 + ... + 3013710000.

It is an arithmetic number, because the mean of its divisors is an integer number (754951385664).

Almost surely, 2^{125854671340320} is an apocalyptic number.

125854671340320 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 125854671340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217425999071232).

125854671340320 is an abundant number, since it is smaller than the sum of its proper divisors (308997326802144).

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

125854671340320 is a wasteful number, since it uses less digits than its factorization.

125854671340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42285 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 125854671340320 in words is "one hundred twenty-five trillion, eight hundred fifty-four billion, six hundred seventy-one million, three hundred forty thousand, three hundred twenty".