5413215600 has 720 divisors, whose sum is σ = 21760607232. Its totient is φ = 1235773440.

The previous prime is 5413215593. The next prime is 5413215601. The reversal of 5413215600 is 65123145.

5413215600 is a `hidden beast` number, since 5 + 41 + 3 + 2 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413215601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50590747 + ... + 50590853.

Almost surely, 2^5413215600 is an apocalyptic number.

5413215600 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 5413215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880303616).

5413215600 is an abundant number, since it is smaller than the sum of its proper divisors (16347391632).

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

5413215600 is a wasteful number, since it uses less digits than its factorization.

5413215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5413215600 is about 73574.5581026485. The cubic root of 5413215600 is about 1755.8406861795.

Adding to 5413215600 its reverse (65123145), we get a palindrome (5478338745).

The spelling of 5413215600 in words is "five billion, four hundred thirteen million, two hundred fifteen thousand, six hundred".