263661230131200 has 2016 divisors, whose sum is σ = 1078886921505120. Its totient is φ = 63341081395200.

The previous prime is 263661230131193. The next prime is 263661230131213. The reversal of 263661230131200 is 2131032166362.

263661230131200 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 612 + 3 + 0 + 1 + 31 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 46394723559 + ... + 46394729241.

It is an arithmetic number, because the mean of its divisors is an integer number (535162163445).

Almost surely, 2^{263661230131200} is an apocalyptic number.

263661230131200 is a gapful number since it is divisible by the number (20) 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 263661230131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539443460752560).

263661230131200 is an abundant number, since it is smaller than the sum of its proper divisors (815225691373920).

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

263661230131200 is a wasteful number, since it uses less digits than its factorization.

263661230131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 263661230131200 its reverse (2131032166362), we get a palindrome (265792262297562).

The spelling of 263661230131200 in words is "two hundred sixty-three trillion, six hundred sixty-one billion, two hundred thirty million, one hundred thirty-one thousand, two hundred".