13416780800 has 132 divisors (see below), whose sum is σ = 35214827580. Its totient is φ = 5050859520.

The previous prime is 13416780779. The next prime is 13416780809. The reversal of 13416780800 is 808761431.

It can be written as a sum of positive squares in 6 ways, for example, as 678498304 + 12738282496 = 26048^2 + 112864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416780809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419786 + ... + 450614.

Almost surely, 2^13416780800 is an apocalyptic number.

13416780800 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 13416780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607413790).

13416780800 is an abundant number, since it is smaller than the sum of its proper divisors (21798046780).

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

13416780800 is a wasteful number, since it uses less digits than its factorization.

13416780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30876 (or 30853 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 13416780800 in words is "thirteen billion, four hundred sixteen million, seven hundred eighty thousand, eight hundred".