5513230322400 has 288 divisors, whose sum is σ = 18204049866240. Its totient is φ = 1449082552320.

The previous prime is 5513230322389. The next prime is 5513230322401. The reversal of 5513230322400 is 42230323155.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513230322401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111270432 + ... + 111319968.

It is an arithmetic number, because the mean of its divisors is an integer number (63208506480).

Almost surely, 2^{5513230322400} is an apocalyptic number.

5513230322400 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 5513230322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102024933120).

5513230322400 is an abundant number, since it is smaller than the sum of its proper divisors (12690819543840).

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

5513230322400 is a wasteful number, since it uses less digits than its factorization.

5513230322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50226 (or 50213 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 5513230322400 its reverse (42230323155), we get a palindrome (5555460645555).

The spelling of 5513230322400 in words is "five trillion, five hundred thirteen billion, two hundred thirty million, three hundred twenty-two thousand, four hundred".