125607283200 has 960 divisors, whose sum is σ = 534239735040. Its totient is φ = 28665446400.

The previous prime is 125607283181. The next prime is 125607283211. The reversal of 125607283200 is 2382706521.

125607283200 is a `hidden beast` number, since 1 + 2 + 5 + 607 + 28 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 195954880 + ... + 195955520.

It is an arithmetic number, because the mean of its divisors is an integer number (556499724).

Almost surely, 2^125607283200 is an apocalyptic number.

125607283200 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 125607283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267119867520).

125607283200 is an abundant number, since it is smaller than the sum of its proper divisors (408632451840).

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

125607283200 is an frugal number, since it uses more digits than its factorization.

125607283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 125607283200 its reverse (2382706521), we get a palindrome (127989989721).

The spelling of 125607283200 in words is "one hundred twenty-five billion, six hundred seven million, two hundred eighty-three thousand, two hundred".