13275302284800 has 1680 divisors, whose sum is σ = 53232987669840. Its totient is φ = 3266905374720.

The previous prime is 13275302284793. The next prime is 13275302284819. The reversal of 13275302284800 is 848220357231.

13275302284800 is a `hidden beast` number, since 1 + 32 + 7 + 530 + 2 + 2 + 8 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×13275302284800² (a number of 27 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 8407410411 + ... + 8407411989.

Almost surely, 2^{13275302284800} is an apocalyptic number.

13275302284800 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 13275302284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26616493834920).

13275302284800 is an abundant number, since it is smaller than the sum of its proper divisors (39957685385040).

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

13275302284800 is an equidigital number, since it uses as much as digits as its factorization.

13275302284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13275302284800 in words is "thirteen trillion, two hundred seventy-five billion, three hundred two million, two hundred eighty-four thousand, eight hundred".