125390417368000 has 224 divisors, whose sum is σ = 328818370503168. Its totient is φ = 47202564096000.

The previous prime is 125390417367967. The next prime is 125390417368003. The reversal of 125390417368000 is 863714093521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125390417368003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092755729 + ... + 3092796271.

It is an arithmetic number, because the mean of its divisors is an integer number (1467939154032).

It is a 1-persistent number, because it is pandigital, but 2⋅125390417368000 = 250780834736000 is not.

Almost surely, 2^{125390417368000} is an apocalyptic number.

125390417368000 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 125390417368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164409185251584).

125390417368000 is an abundant number, since it is smaller than the sum of its proper divisors (203427953135168).

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

125390417368000 is a wasteful number, since it uses less digits than its factorization.

125390417368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63328 (or 63308 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 125390417368000 in words is "one hundred twenty-five trillion, three hundred ninety billion, four hundred seventeen million, three hundred sixty-eight thousand".