125435261823060 has 192 divisors, whose sum is σ = 403630777105920. Its totient is φ = 28511080151040.

The previous prime is 125435261823059. The next prime is 125435261823107. The reversal of 125435261823060 is 60328162534521.

It is a super-2 number, since 2×125435261823060² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2510839602 + ... + 2510889558.

It is an arithmetic number, because the mean of its divisors is an integer number (2102243630760).

Almost surely, 2^{125435261823060} is an apocalyptic number.

125435261823060 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 125435261823060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201815388552960).

125435261823060 is an abundant number, since it is smaller than the sum of its proper divisors (278195515282860).

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

125435261823060 is a wasteful number, since it uses less digits than its factorization.

125435261823060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83186 (or 83184 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 125435261823060 in words is "one hundred twenty-five trillion, four hundred thirty-five billion, two hundred sixty-one million, eight hundred twenty-three thousand, sixty".