125327344800 has 576 divisors, whose sum is σ = 474346139904. Its totient is φ = 28151808000.

The previous prime is 125327344789. The next prime is 125327344853. The reversal of 125327344800 is 8443723521.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395354242 + ... + 395354558.

It is an arithmetic number, because the mean of its divisors is an integer number (823517604).

Almost surely, 2^125327344800 is an apocalyptic number.

125327344800 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 125327344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237173069952).

125327344800 is an abundant number, since it is smaller than the sum of its proper divisors (349018795104).

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

125327344800 is a wasteful number, since it uses less digits than its factorization.

125327344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 125327344800 in words is "one hundred twenty-five billion, three hundred twenty-seven million, three hundred forty-four thousand, eight hundred".