12559357440 has 480 divisors, whose sum is σ = 50894528256. Its totient is φ = 2802401280.

The previous prime is 12559357423. The next prime is 12559357457. The reversal of 12559357440 is 4475395521.

12559357440 is a `hidden beast` number, since 1 + 2 + 5 + 593 + 57 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12559357423) and next prime (12559357457).

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934135 + ... + 6935945.

Almost surely, 2^12559357440 is an apocalyptic number.

12559357440 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 12559357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25447264128).

12559357440 is an abundant number, since it is smaller than the sum of its proper divisors (38335170816).

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

12559357440 is a wasteful number, since it uses less digits than its factorization.

12559357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 12559357440 in words is "twelve billion, five hundred fifty-nine million, three hundred fifty-seven thousand, four hundred forty".