12580401600 has 1008 divisors, whose sum is σ = 52966193280. Its totient is φ = 2911334400.

The previous prime is 12580401571. The next prime is 12580401623. The reversal of 12580401600 is 610408521.

12580401600 is a `hidden beast` number, since 1 + 2 + 58 + 0 + 4 + 0 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96033535 + ... + 96033665.

Almost surely, 2^12580401600 is an apocalyptic number.

12580401600 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 12580401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26483096640).

12580401600 is an abundant number, since it is smaller than the sum of its proper divisors (40385791680).

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

12580401600 is a wasteful number, since it uses less digits than its factorization.

12580401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12580401600 in words is "twelve billion, five hundred eighty million, four hundred one thousand, six hundred".