13578818400 has 576 divisors, whose sum is σ = 57956290560. Its totient is φ = 3002572800.

The previous prime is 13578818389. The next prime is 13578818401. The reversal of 13578818400 is 481887531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578818401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4685752 + ... + 4688648.

It is an arithmetic number, because the mean of its divisors is an integer number (100618560).

Almost surely, 2^13578818400 is an apocalyptic number.

13578818400 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 13578818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28978145280).

13578818400 is an abundant number, since it is smaller than the sum of its proper divisors (44377472160).

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

13578818400 is a wasteful number, since it uses less digits than its factorization.

13578818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 13578818400 in words is "thirteen billion, five hundred seventy-eight million, eight hundred eighteen thousand, four hundred".