12686162400 has 216 divisors, whose sum is σ = 44865815904. Its totient is φ = 3373056000.

The previous prime is 12686162351. The next prime is 12686162429. The reversal of 12686162400 is 426168621.

12686162400 is a `hidden beast` number, since 1 + 26 + 8 + 6 + 1 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2640000 + ... + 2644800.

Almost surely, 2^12686162400 is an apocalyptic number.

12686162400 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 12686162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432907952).

12686162400 is an abundant number, since it is smaller than the sum of its proper divisors (32179653504).

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

12686162400 is a wasteful number, since it uses less digits than its factorization.

12686162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12686162400 in words is "twelve billion, six hundred eighty-six million, one hundred sixty-two thousand, four hundred".