12869629920 has 288 divisors, whose sum is σ = 52051603968. Its totient is φ = 2941567488.

The previous prime is 12869629919. The next prime is 12869629931. The reversal of 12869629920 is 2992696821.

It is a happy number.

12869629920 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 9 + 629 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 248517 + ... + 295803.

It is an arithmetic number, because the mean of its divisors is an integer number (180734736).

Almost surely, 2^12869629920 is an apocalyptic number.

12869629920 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 12869629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025801984).

12869629920 is an abundant number, since it is smaller than the sum of its proper divisors (39181974048).

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

12869629920 is an equidigital number, since it uses as much as digits as its factorization.

12869629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47324 (or 47304 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12869629920 in words is "twelve billion, eight hundred sixty-nine million, six hundred twenty-nine thousand, nine hundred twenty".