12533760000 has 540 divisors, whose sum is σ = 47907681822. Its totient is φ = 3145728000.

The previous prime is 12533759989. The next prime is 12533760007. The reversal of 12533760000 is 6733521.

It is a happy number.

12533760000 is a `hidden beast` number, since 1 + 2 + 53 + 3 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 807469056 + 11726290944 = 28416^2 + 108288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533760007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 737279992 + ... + 737280008.

Almost surely, 2^12533760000 is an apocalyptic number.

12533760000 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 12533760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23953840911).

12533760000 is an abundant number, since it is smaller than the sum of its proper divisors (35373921822).

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

12533760000 is an frugal number, since it uses more digits than its factorization.

12533760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 12533760000 in words is "twelve billion, five hundred thirty-three million, seven hundred sixty thousand".