12797162352 has 320 divisors, whose sum is σ = 42117304320. Its totient is φ = 3685478400.

The previous prime is 12797162299. The next prime is 12797162393. The reversal of 12797162352 is 25326179721.

It is a happy number.

12797162352 is a `hidden beast` number, since 12 + 7 + 9 + 7 + 1 + 623 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12797162298 and 12797162307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29691577 + ... + 29692007.

It is an arithmetic number, because the mean of its divisors is an integer number (131616576).

Almost surely, 2^12797162352 is an apocalyptic number.

12797162352 is a gapful number since it is divisible by the number (12) 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 12797162352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058652160).

12797162352 is an abundant number, since it is smaller than the sum of its proper divisors (29320141968).

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

12797162352 is a wasteful number, since it uses less digits than its factorization.

12797162352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 12797162352 in words is "twelve billion, seven hundred ninety-seven million, one hundred sixty-two thousand, three hundred fifty-two".