5613272400 has 120 divisors (see below), whose sum is σ = 18320657760. Its totient is φ = 1468613120.

The previous prime is 5613272389. The next prime is 5613272443. The reversal of 5613272400 is 42723165.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 19471 + ... + 107729.

It is an arithmetic number, because the mean of its divisors is an integer number (152672148).

Almost surely, 2^5613272400 is an apocalyptic number.

5613272400 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 5613272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160328880).

5613272400 is an abundant number, since it is smaller than the sum of its proper divisors (12707385360).

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

5613272400 is a wasteful number, since it uses less digits than its factorization.

5613272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88333 (or 88322 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5613272400 is about 74921.7752058772. The cubic root of 5613272400 is about 1777.2098271976.

Adding to 5613272400 its reverse (42723165), we get a palindrome (5655995565).

It can be divided in two parts, 561 and 3272400, that added together give a triangular number (3272961 = T₂₅₅₈).

The spelling of 5613272400 in words is "five billion, six hundred thirteen million, two hundred seventy-two thousand, four hundred".