12807692352 has 448 divisors, whose sum is σ = 46973337600. Its totient is φ = 3331860480.

The previous prime is 12807692341. The next prime is 12807692353. The reversal of 12807692352 is 25329670821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 12807692298 and 12807692307.

It is not an unprimeable number, because it can be changed into a prime (12807692353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12422077 + ... + 12423107.

It is an arithmetic number, because the mean of its divisors is an integer number (104851200).

Almost surely, 2^12807692352 is an apocalyptic number.

12807692352 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 12807692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486668800).

12807692352 is an abundant number, since it is smaller than the sum of its proper divisors (34165645248).

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

12807692352 is a wasteful number, since it uses less digits than its factorization.

12807692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12807692352 in words is "twelve billion, eight hundred seven million, six hundred ninety-two thousand, three hundred fifty-two".