125693445385872 has 960 divisors, whose sum is σ = 449039561850880. Its totient is φ = 31928156467200.

The previous prime is 125693445385801. The next prime is 125693445385919. The reversal of 125693445385872 is 278583544396521.

125693445385872 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 3 + 4 + 4 + 5 + 38 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 125693445385872.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112527703458 + ... + 112527704574.

Almost surely, 2^{125693445385872} is an apocalyptic number.

125693445385872 is a gapful number since it is divisible by the number (12) 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 125693445385872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224519780925440).

125693445385872 is an abundant number, since it is smaller than the sum of its proper divisors (323346116465008).

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

125693445385872 is a wasteful number, since it uses less digits than its factorization.

125693445385872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2243 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 125693445385872 in words is "one hundred twenty-five trillion, six hundred ninety-three billion, four hundred forty-five million, three hundred eighty-five thousand, eight hundred seventy-two".