12533146264800 has 1296 divisors, whose sum is σ = 55035734487552. Its totient is φ = 2772243532800.

The previous prime is 12533146264789. The next prime is 12533146264801. The reversal of 12533146264800 is 846264133521.

12533146264800 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 14 + 626 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533146264801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 295272379 + ... + 295314821.

It is an arithmetic number, because the mean of its divisors is an integer number (42465844512).

Almost surely, 2^{12533146264800} is an apocalyptic number.

12533146264800 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 12533146264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27517867243776).

12533146264800 is an abundant number, since it is smaller than the sum of its proper divisors (42502588222752).

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

12533146264800 is a wasteful number, since it uses less digits than its factorization.

12533146264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42523 (or 42491 counting only the distinct ones).

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

The spelling of 12533146264800 in words is "twelve trillion, five hundred thirty-three billion, one hundred forty-six million, two hundred sixty-four thousand, eight hundred".