12838570560 has 504 divisors, whose sum is σ = 48989528640. Its totient is φ = 3071692800.

The previous prime is 12838570553. The next prime is 12838570637. The reversal of 12838570560 is 6507583821.

12838570560 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 85 + 7 + 0 + 560 = 666.

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 71 ways as a sum of consecutive naturals, for example, 127114510 + ... + 127114610.

Almost surely, 2^12838570560 is an apocalyptic number.

12838570560 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 12838570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494764320).

12838570560 is an abundant number, since it is smaller than the sum of its proper divisors (36150958080).

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

12838570560 is a wasteful number, since it uses less digits than its factorization.

12838570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12838570560 in words is "twelve billion, eight hundred thirty-eight million, five hundred seventy thousand, five hundred sixty".