12525408000 has 1152 divisors, whose sum is σ = 56120064000. Its totient is φ = 2687385600.

The previous prime is 12525407957. The next prime is 12525408001. The reversal of 12525408000 is 80452521.

It is a happy number.

12525408000 is a `hidden beast` number, since 1 + 252 + 5 + 408 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12525408001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114911946 + ... + 114912054.

Almost surely, 2^12525408000 is an apocalyptic number.

12525408000 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 12525408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28060032000).

12525408000 is an abundant number, since it is smaller than the sum of its proper divisors (43594656000).

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

12525408000 is a wasteful number, since it uses less digits than its factorization.

12525408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12525408000 in words is "twelve billion, five hundred twenty-five million, four hundred eight thousand".