125895369600 has 1728 divisors, whose sum is σ = 609253401120. Its totient is φ = 24086937600.

The previous prime is 125895369571. The next prime is 125895369601. The reversal of 125895369600 is 6963598521.

It is a happy number.

125895369600 is a `hidden beast` number, since 1 + 2 + 589 + 53 + 6 + 9 + 6 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125895369601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 317116602 + ... + 317116998.

Almost surely, 2^125895369600 is an apocalyptic number.

125895369600 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 125895369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304626700560).

125895369600 is an abundant number, since it is smaller than the sum of its proper divisors (483358031520).

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

125895369600 is a wasteful number, since it uses less digits than its factorization.

125895369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 125895369600 in words is "one hundred twenty-five billion, eight hundred ninety-five million, three hundred sixty-nine thousand, six hundred".