125566459200 has 1764 divisors, whose sum is σ = 583764108060. Its totient is φ = 26493143040.

The previous prime is 125566459199. The next prime is 125566459201. The reversal of 125566459200 is 2954665521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125566459200 is a `hidden beast` number, since 1 + 2 + 5 + 56 + 6 + 4 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125566459199) and next prime (125566459201).

It can be written as a sum of positive squares in 6 ways, for example, as 101781417024 + 23785042176 = 319032^2 + 154224^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125566459201) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 9658958394 + ... + 9658958406.

Almost surely, 2^125566459200 is an apocalyptic number.

125566459200 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 125566459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291882054030).

125566459200 is an abundant number, since it is smaller than the sum of its proper divisors (458197648860).

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

125566459200 is an frugal number, since it uses more digits than its factorization.

125566459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 125566459200 in words is "one hundred twenty-five billion, five hundred sixty-six million, four hundred fifty-nine thousand, two hundred".