12810099456 has 720 divisors, whose sum is σ = 48720849408. Its totient is φ = 3251404800.

The previous prime is 12810099451. The next prime is 12810099461. The reversal of 12810099456 is 65499001821.

12810099456 is a `hidden beast` number, since 1 + 2 + 8 + 100 + 99 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (12810099451) and next prime (12810099461).

It is a super-2 number, since 2×12810099456² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12810099451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113363656 + ... + 113363768.

Almost surely, 2^12810099456 is an apocalyptic number.

12810099456 is a gapful number since it is divisible by the number (16) 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 12810099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360424704).

12810099456 is an abundant number, since it is smaller than the sum of its proper divisors (35910749952).

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

12810099456 is a wasteful number, since it uses less digits than its factorization.

12810099456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12810099456 in words is "twelve billion, eight hundred ten million, ninety-nine thousand, four hundred fifty-six".