5413605120 has 864 divisors, whose sum is σ = 24794864640. Its totient is φ = 1055784960.

The previous prime is 5413605097. The next prime is 5413605133. The reversal of 5413605120 is 215063145.

5413605120 is a `hidden beast` number, since 5 + 41 + 3 + 605 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079501 + ... + 15079859.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^5413605120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397432320).

5413605120 is an abundant number, since it is smaller than the sum of its proper divisors (19381259520).

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

5413605120 is a wasteful number, since it uses less digits than its factorization.

5413605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

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

The square root of 5413605120 is about 73577.2051657305. The cubic root of 5413605120 is about 1755.8828003134.

Adding to 5413605120 its reverse (215063145), we get a palindrome (5628668265).

The spelling of 5413605120 in words is "five billion, four hundred thirteen million, six hundred five thousand, one hundred twenty".