12585780000 has 600 divisors, whose sum is σ = 49081173372. Its totient is φ = 3151872000.

The previous prime is 12585779957. The next prime is 12585780019. The reversal of 12585780000 is 8758521.

12585780000 is a `hidden beast` number, since 1 + 2 + 585 + 78 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 58798224 + 12526981776 = 7668^2 + 111924^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 27539772 + ... + 27540228.

Almost surely, 2^12585780000 is an apocalyptic number.

12585780000 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 12585780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540586686).

12585780000 is an abundant number, since it is smaller than the sum of its proper divisors (36495393372).

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

12585780000 is an equidigital number, since it uses as much as digits as its factorization.

12585780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 12585780000 in words is "twelve billion, five hundred eighty-five million, seven hundred eighty thousand".