125894863785600 has 6048 divisors, whose sum is σ = 620063860471200. Its totient is φ = 25164410019840.

The previous prime is 125894863785583. The next prime is 125894863785601. The reversal of 125894863785600 is 6587368498521.

125894863785600 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 9 + 4 + 8 + 6 + 3 + 7 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is not an unprimeable number, because it can be changed into a prime (125894863785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 6626045462391 + ... + 6626045462409.

It is a 1-persistent number, because it is pandigital, but 2⋅125894863785600 = 251789727571200 is not.

Almost surely, 2^{125894863785600} is an apocalyptic number.

125894863785600 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 125894863785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310031930235600).

125894863785600 is an abundant number, since it is smaller than the sum of its proper divisors (494168996685600).

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

125894863785600 is an frugal number, since it uses more digits than its factorization.

125894863785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 125894863785600 in words is "one hundred twenty-five trillion, eight hundred ninety-four billion, eight hundred sixty-three million, seven hundred eighty-five thousand, six hundred".