12671633520 has 1440 divisors, whose sum is σ = 59471193600. Its totient is φ = 2445520896.

The previous prime is 12671633483. The next prime is 12671633551. The reversal of 12671633520 is 2533617621.

12671633520 is a `hidden beast` number, since 1 + 2 + 6 + 71 + 63 + 3 + 520 = 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 287 ways as a sum of consecutive naturals, for example, 436952866 + ... + 436952894.

It is an arithmetic number, because the mean of its divisors is an integer number (41299440).

Almost surely, 2^12671633520 is an apocalyptic number.

12671633520 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 12671633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29735596800).

12671633520 is an abundant number, since it is smaller than the sum of its proper divisors (46799560080).

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

12671633520 is a wasteful number, since it uses less digits than its factorization.

12671633520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12671633520 in words is "twelve billion, six hundred seventy-one million, six hundred thirty-three thousand, five hundred twenty".