12823695360 has 416 divisors, whose sum is σ = 52118350080. Its totient is φ = 2930245632.

The previous prime is 12823695347. The next prime is 12823695361. The reversal of 12823695360 is 6359632821.

12823695360 is a `hidden beast` number, since 1 + 2 + 82 + 36 + 9 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12823695361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3869064 + ... + 3872376.

Almost surely, 2^12823695360 is an apocalyptic number.

12823695360 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 12823695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26059175040).

12823695360 is an abundant number, since it is smaller than the sum of its proper divisors (39294654720).

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

12823695360 is an equidigital number, since it uses as much as digits as its factorization.

12823695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12823695360 in words is "twelve billion, eight hundred twenty-three million, six hundred ninety-five thousand, three hundred sixty".