12533628441600 has 1980 divisors, whose sum is σ = 54419100731424. Its totient is φ = 2792213544960.

The previous prime is 12533628441491. The next prime is 12533628441619. The reversal of 12533628441600 is 614482633521.

12533628441600 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 628 + 4 + 4 + 16 + 0 + 0 = 666.

It is a super-3 number, since 3×12533628441600³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 179 ways as a sum of consecutive naturals, for example, 26838604567 + ... + 26838605033.

Almost surely, 2^{12533628441600} is an apocalyptic number.

12533628441600 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 12533628441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209550365712).

12533628441600 is an abundant number, since it is smaller than the sum of its proper divisors (41885472289824).

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

12533628441600 is an equidigital number, since it uses as much as digits as its factorization.

12533628441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12533628441600 in words is "twelve trillion, five hundred thirty-three billion, six hundred twenty-eight million, four hundred forty-one thousand, six hundred".