12886064100 has 864 divisors, whose sum is σ = 53711840000. Its totient is φ = 2575722240.

The previous prime is 12886064089. The next prime is 12886064137. The reversal of 12886064100 is 146068821.

12886064100 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 6 + 0 + 641 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 678213891 + ... + 678213909.

Almost surely, 2^12886064100 is an apocalyptic number.

12886064100 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 12886064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26855920000).

12886064100 is an abundant number, since it is smaller than the sum of its proper divisors (40825775900).

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

12886064100 is a wasteful number, since it uses less digits than its factorization.

12886064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12886064100 in words is "twelve billion, eight hundred eighty-six million, sixty-four thousand, one hundred".