12560990400 has 504 divisors, whose sum is σ = 52794225120. Its totient is φ = 2771435520.

The previous prime is 12560990381. The next prime is 12560990411. The reversal of 12560990400 is 409906521.

12560990400 is a `hidden beast` number, since 1 + 2 + 5 + 609 + 9 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2921052 + ... + 2925348.

Almost surely, 2^12560990400 is an apocalyptic number.

12560990400 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 12560990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26397112560).

12560990400 is an abundant number, since it is smaller than the sum of its proper divisors (40233234720).

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

12560990400 is a wasteful number, since it uses less digits than its factorization.

12560990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12560990400 in words is "twelve billion, five hundred sixty million, nine hundred ninety thousand, four hundred".