13061563200 has 672 divisors, whose sum is σ = 55634534400. Its totient is φ = 2918799360.

The previous prime is 13061563187. The next prime is 13061563201. The reversal of 13061563200 is 236516031.

13061563200 is a `hidden beast` number, since 1 + 306 + 156 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13061563201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14212341 + ... + 14213259.

Almost surely, 2^13061563200 is an apocalyptic number.

13061563200 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 13061563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817267200).

13061563200 is an abundant number, since it is smaller than the sum of its proper divisors (42572971200).

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

13061563200 is a wasteful number, since it uses less digits than its factorization.

13061563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13061563200 in words is "thirteen billion, sixty-one million, five hundred sixty-three thousand, two hundred".