125939060217600 has 5184 divisors, whose sum is σ = 576677690265600. Its totient is φ = 23930339328000.

The previous prime is 125939060217599. The next prime is 125939060217623. The reversal of 125939060217600 is 6712060939521.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 273186681370 + ... + 273186681830.

It is an arithmetic number, because the mean of its divisors is an integer number (111241838400).

Almost surely, 2^{125939060217600} is an apocalyptic number.

125939060217600 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 125939060217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288338845132800).

125939060217600 is an abundant number, since it is smaller than the sum of its proper divisors (450738630048000).

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

125939060217600 is a wasteful number, since it uses less digits than its factorization.

125939060217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 125939060217600 in words is "one hundred twenty-five trillion, nine hundred thirty-nine billion, sixty million, two hundred seventeen thousand, six hundred".