12525590400 has 384 divisors, whose sum is σ = 44465308800. Its totient is φ = 3088834560.

The previous prime is 12525590387. The next prime is 12525590423. The reversal of 12525590400 is 409552521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7842402 + ... + 7843998.

It is an arithmetic number, because the mean of its divisors is an integer number (115795075).

Almost surely, 2^12525590400 is an apocalyptic number.

12525590400 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 12525590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22232654400).

12525590400 is an abundant number, since it is smaller than the sum of its proper divisors (31939718400).

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

12525590400 is a wasteful number, since it uses less digits than its factorization.

12525590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 12525590400 in words is "twelve billion, five hundred twenty-five million, five hundred ninety thousand, four hundred".