13678515400 has 96 divisors (see below), whose sum is σ = 34771524480. Its totient is φ = 4962848000.

The previous prime is 13678515391. The next prime is 13678515413. The reversal of 13678515400 is 451587631.

It is a happy number.

13678515400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007457 + ... + 1020943.

It is an arithmetic number, because the mean of its divisors is an integer number (362203380).

Almost surely, 2^13678515400 is an apocalyptic number.

13678515400 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 13678515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385762240).

13678515400 is an abundant number, since it is smaller than the sum of its proper divisors (21093009080).

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

13678515400 is a wasteful number, since it uses less digits than its factorization.

13678515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 13678515400 in words is "thirteen billion, six hundred seventy-eight million, five hundred fifteen thousand, four hundred".