12838898160 has 240 divisors, whose sum is σ = 47606203008. Its totient is φ = 3074803200.

The previous prime is 12838898153. The next prime is 12838898167. The reversal of 12838898160 is 6189883821.

12838898160 is a `hidden beast` number, since 12 + 8 + 388 + 98 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (12838898153) and next prime (12838898167).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 12838898097 and 12838898106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838898167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647595 + ... + 667125.

Almost surely, 2^12838898160 is an apocalyptic number.

12838898160 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 12838898160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23803101504).

12838898160 is an abundant number, since it is smaller than the sum of its proper divisors (34767304848).

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

12838898160 is a wasteful number, since it uses less digits than its factorization.

12838898160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19644 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 12838898160 in words is "twelve billion, eight hundred thirty-eight million, eight hundred ninety-eight thousand, one hundred sixty".