13823528947200 has 3360 divisors, whose sum is σ = 63490258149120. Its totient is φ = 2909542809600.

The previous prime is 13823528947171. The next prime is 13823528947219. The reversal of 13823528947200 is 274982532831.

13823528947200 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 528 + 94 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 65514355095 + ... + 65514355305.

Almost surely, 2^{13823528947200} is an apocalyptic number.

13823528947200 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 13823528947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31745129074560).

13823528947200 is an abundant number, since it is smaller than the sum of its proper divisors (49666729201920).

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

13823528947200 is an equidigital number, since it uses as much as digits as its factorization.

13823528947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13823528947200 in words is "thirteen trillion, eight hundred twenty-three billion, five hundred twenty-eight million, nine hundred forty-seven thousand, two hundred".