5613158400 has 216 divisors, whose sum is σ = 18593278704. Its totient is φ = 1494220800.

The previous prime is 5613158393. The next prime is 5613158401. The reversal of 5613158400 is 48513165.

It is not an unprimeable number, because it can be changed into a prime (5613158401) 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, 9830115 + ... + 9830685.

It is an arithmetic number, because the mean of its divisors is an integer number (86079994).

Almost surely, 2^5613158400 is an apocalyptic number.

5613158400 is a gapful number since it is divisible by the number (50) 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 5613158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296639352).

5613158400 is an abundant number, since it is smaller than the sum of its proper divisors (12980120304).

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

5613158400 is an frugal number, since it uses more digits than its factorization.

5613158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5613158400 is about 74921.0144085089. The cubic root of 5613158400 is about 1777.1977959926.

The spelling of 5613158400 in words is "five billion, six hundred thirteen million, one hundred fifty-eight thousand, four hundred".