13396563600 has 240 divisors, whose sum is σ = 49877283840. Its totient is φ = 3010060800.

The previous prime is 13396563599. The next prime is 13396563689. The reversal of 13396563600 is 636569331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482085 + ... + 509115.

It is an arithmetic number, because the mean of its divisors is an integer number (207822016).

Almost surely, 2^13396563600 is an apocalyptic number.

13396563600 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 13396563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938641920).

13396563600 is an abundant number, since it is smaller than the sum of its proper divisors (36480720240).

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

13396563600 is a wasteful number, since it uses less digits than its factorization.

13396563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27118 (or 27107 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The spelling of 13396563600 in words is "thirteen billion, three hundred ninety-six million, five hundred sixty-three thousand, six hundred".