13436568400 has 60 divisors (see below), whose sum is σ = 32385453984. Its totient is φ = 5357296000.

The previous prime is 13436568391. The next prime is 13436568403. The reversal of 13436568400 is 486563431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13436568403) 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 11 ways as a sum of consecutive naturals, for example, 70395 + ... + 178405.

Almost surely, 2^13436568400 is an apocalyptic number.

13436568400 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 13436568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192726992).

13436568400 is an abundant number, since it is smaller than the sum of its proper divisors (18948885584).

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

13436568400 is a wasteful number, since it uses less digits than its factorization.

13436568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108340 (or 108329 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 13436568400 in words is "thirteen billion, four hundred thirty-six million, five hundred sixty-eight thousand, four hundred".