12533189760 has 384 divisors, whose sum is σ = 53268284160. Its totient is φ = 2644254720.

The previous prime is 12533189749. The next prime is 12533189789. The reversal of 12533189760 is 6798133521.

12533189760 is a `hidden beast` number, since 12 + 533 + 18 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512205 + ... + 536115.

It is an arithmetic number, because the mean of its divisors is an integer number (138719490).

Almost surely, 2^12533189760 is an apocalyptic number.

12533189760 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 12533189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26634142080).

12533189760 is an abundant number, since it is smaller than the sum of its proper divisors (40735094400).

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

12533189760 is a wasteful number, since it uses less digits than its factorization.

12533189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23956 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12533189760 in words is "twelve billion, five hundred thirty-three million, one hundred eighty-nine thousand, seven hundred sixty".