125030663289600 has 1728 divisors, whose sum is σ = 454614902784000. Its totient is φ = 30162198528000.

The previous prime is 125030663289599. The next prime is 125030663289661. The reversal of 125030663289600 is 6982366030521.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 180941625255 + ... + 180941625945.

It is an arithmetic number, because the mean of its divisors is an integer number (263087328000).

Almost surely, 2^{125030663289600} is an apocalyptic number.

125030663289600 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 125030663289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227307451392000).

125030663289600 is an abundant number, since it is smaller than the sum of its proper divisors (329584239494400).

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

125030663289600 is a wasteful number, since it uses less digits than its factorization.

125030663289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 125030663289600 in words is "one hundred twenty-five trillion, thirty billion, six hundred sixty-three million, two hundred eighty-nine thousand, six hundred".