12833620560 has 400 divisors, whose sum is σ = 47619095040. Its totient is φ = 3196247040.

The previous prime is 12833620559. The next prime is 12833620573. The reversal of 12833620560 is 6502633821.

It is a happy number.

12833620560 is a `hidden beast` number, since 1 + 2 + 8 + 33 + 62 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5824419 + ... + 5826621.

Almost surely, 2^12833620560 is an apocalyptic number.

12833620560 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 12833620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809547520).

12833620560 is an abundant number, since it is smaller than the sum of its proper divisors (34785474480).

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

12833620560 is a wasteful number, since it uses less digits than its factorization.

12833620560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12833620560 in words is "twelve billion, eight hundred thirty-three million, six hundred twenty thousand, five hundred sixty".