125066066036300 has 144 divisors (see below), whose sum is σ = 287750951010432. Its totient is φ = 47019283660800.

The previous prime is 125066066036279. The next prime is 125066066036323. The reversal of 125066066036300 is 3630660660521.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9544835549 + ... + 9544848651.

It is an arithmetic number, because the mean of its divisors is an integer number (1998270493128).

Almost surely, 2^{125066066036300} is an apocalyptic number.

125066066036300 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 125066066036300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143875475505216).

125066066036300 is an abundant number, since it is smaller than the sum of its proper divisors (162684884974132).

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

125066066036300 is a wasteful number, since it uses less digits than its factorization.

125066066036300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20388 (or 20381 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 125066066036300 in words is "one hundred twenty-five trillion, sixty-six billion, sixty-six million, thirty-six thousand, three hundred".