12810951360 has 224 divisors, whose sum is σ = 45427392000. Its totient is φ = 3398630400.

The previous prime is 12810951337. The next prime is 12810951379. The reversal of 12810951360 is 6315901821.

12810951360 is a `hidden beast` number, since 1 + 2 + 81 + 0 + 9 + 513 + 60 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715635 + ... + 1723085.

Almost surely, 2^12810951360 is an apocalyptic number.

12810951360 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 12810951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713696000).

12810951360 is an abundant number, since it is smaller than the sum of its proper divisors (32616440640).

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

12810951360 is a wasteful number, since it uses less digits than its factorization.

12810951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12810951360 in words is "twelve billion, eight hundred ten million, nine hundred fifty-one thousand, three hundred sixty".