12533821632 has 448 divisors, whose sum is σ = 39954647040. Its totient is φ = 3845947392.

The previous prime is 12533821631. The next prime is 12533821697. The reversal of 12533821632 is 23612833521.

12533821632 is a `hidden beast` number, since 1 + 2 + 533 + 82 + 16 + 32 = 666.

It is a super-2 number, since 2×12533821632² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12533821631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129214608 + ... + 129214704.

It is an arithmetic number, because the mean of its divisors is an integer number (89184480).

Almost surely, 2^12533821632 is an apocalyptic number.

12533821632 is a gapful number since it is divisible by the number (12) 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 12533821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977323520).

12533821632 is an abundant number, since it is smaller than the sum of its proper divisors (27420825408).

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

12533821632 is a wasteful number, since it uses less digits than its factorization.

12533821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

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

The spelling of 12533821632 in words is "twelve billion, five hundred thirty-three million, eight hundred twenty-one thousand, six hundred thirty-two".