12569378400 has 432 divisors, whose sum is σ = 47433151584. Its totient is φ = 3120906240.

The previous prime is 12569378357. The next prime is 12569378431. The reversal of 12569378400 is 487396521.

12569378400 is a `hidden beast` number, since 1 + 2 + 569 + 3 + 7 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12606702 + ... + 12607698.

It is an arithmetic number, because the mean of its divisors is an integer number (109798962).

It is a 1-persistent number, because it is pandigital, but 2⋅12569378400 = 25138756800 is not.

Almost surely, 2^12569378400 is an apocalyptic number.

12569378400 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 12569378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716575792).

12569378400 is an abundant number, since it is smaller than the sum of its proper divisors (34863773184).

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

12569378400 is a wasteful number, since it uses less digits than its factorization.

12569378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12569378400 in words is "twelve billion, five hundred sixty-nine million, three hundred seventy-eight thousand, four hundred".