12586406400 has 480 divisors, whose sum is σ = 46884499200. Its totient is φ = 3306700800.

The previous prime is 12586406387. The next prime is 12586406411. The reversal of 12586406400 is 460468521.

12586406400 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 6 + 4 + 0 + 640 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27302170 + ... + 27302630.

It is an arithmetic number, because the mean of its divisors is an integer number (97676040).

Almost surely, 2^12586406400 is an apocalyptic number.

12586406400 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 12586406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442249600).

12586406400 is an abundant number, since it is smaller than the sum of its proper divisors (34298092800).

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

12586406400 is an equidigital number, since it uses as much as digits as its factorization.

12586406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12586406400 in words is "twelve billion, five hundred eighty-six million, four hundred six thousand, four hundred".