12933632880 has 800 divisors, whose sum is σ = 55454784000. Its totient is φ = 2727696384.

The previous prime is 12933632867. The next prime is 12933632917. The reversal of 12933632880 is 8823633921.

12933632880 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 632 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37058946 + ... + 37059294.

It is an arithmetic number, because the mean of its divisors is an integer number (69318480).

Almost surely, 2^12933632880 is an apocalyptic number.

12933632880 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 12933632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27727392000).

12933632880 is an abundant number, since it is smaller than the sum of its proper divisors (42521151120).

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

12933632880 is a wasteful number, since it uses less digits than its factorization.

12933632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12933632880 in words is "twelve billion, nine hundred thirty-three million, six hundred thirty-two thousand, eight hundred eighty".