12869435520 has 384 divisors, whose sum is σ = 46687717440. Its totient is φ = 3387101184.

The previous prime is 12869435507. The next prime is 12869435561. The reversal of 12869435520 is 2553496821.

12869435520 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 94 + 3 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12907662 + ... + 12908658.

Almost surely, 2^12869435520 is an apocalyptic number.

12869435520 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 12869435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23343858720).

12869435520 is an abundant number, since it is smaller than the sum of its proper divisors (33818281920).

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

12869435520 is an frugal number, since it uses more digits than its factorization.

12869435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12869435520 in words is "twelve billion, eight hundred sixty-nine million, four hundred thirty-five thousand, five hundred twenty".