125058940160 has 648 divisors, whose sum is σ = 394911788544. Its totient is φ = 37103616000.

The previous prime is 125058940109. The next prime is 125058940169. The reversal of 125058940160 is 61049850521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125058940169) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2050146530 + ... + 2050146590.

Almost surely, 2^125058940160 is an apocalyptic number.

125058940160 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 125058940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197455894272).

125058940160 is an abundant number, since it is smaller than the sum of its proper divisors (269852848384).

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

125058940160 is an equidigital number, since it uses as much as digits as its factorization.

125058940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 125058940160 in words is "one hundred twenty-five billion, fifty-eight million, nine hundred forty thousand, one hundred sixty".