12575379600 has 675 divisors, whose sum is σ = 53097044187. Its totient is φ = 2842076160.

The previous prime is 12575379571. The next prime is 12575379601. The reversal of 12575379600 is 697357521.

The square root of 12575379600 is 112140.

It is a perfect power (a square), and thus also a powerful number.

12575379600 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 5 + 37 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2616936336 + 9958443264 = 51156^2 + 99792^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (12575379601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 141296356 + ... + 141296444.

Almost surely, 2^12575379600 is an apocalyptic number.

12575379600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12575379600 is the 112140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575379600

12575379600 is an abundant number, since it is smaller than the sum of its proper divisors (40521664587).

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

12575379600 is an equidigital number, since it uses as much as digits as its factorization.

12575379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

12575379600 divided by its product of nonzero digits (396900) gives a square (31684 = 178²).

The spelling of 12575379600 in words is "twelve billion, five hundred seventy-five million, three hundred seventy-nine thousand, six hundred".