125857446400 has 480 divisors, whose sum is σ = 384696449280. Its totient is φ = 39820984320.

The previous prime is 125857446389. The next prime is 125857446409. The reversal of 125857446400 is 4644758521.

125857446400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (125857446409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80728821 + ... + 80730379.

It is an arithmetic number, because the mean of its divisors is an integer number (801450936).

Almost surely, 2^125857446400 is an apocalyptic number.

125857446400 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 125857446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192348224640).

125857446400 is an abundant number, since it is smaller than the sum of its proper divisors (258839002880).

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

125857446400 is a wasteful number, since it uses less digits than its factorization.

125857446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 125857446400 in words is "one hundred twenty-five billion, eight hundred fifty-seven million, four hundred forty-six thousand, four hundred".