5351601808224 has 576 divisors, whose sum is σ = 18477095390208. Its totient is φ = 1436183654400.

The previous prime is 5351601808199. The next prime is 5351601808277. The reversal of 5351601808224 is 4228081061535.

5351601808224 is a `hidden beast` number, since 5 + 35 + 1 + 601 + 8 + 0 + 8 + 2 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5351601808224.

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 95 ways as a sum of consecutive naturals, for example, 2293870162 + ... + 2293872494.

It is an arithmetic number, because the mean of its divisors is an integer number (32078290608).

Almost surely, 2^{5351601808224} 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 5351601808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238547695104).

5351601808224 is an abundant number, since it is smaller than the sum of its proper divisors (13125493581984).

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

5351601808224 is a wasteful number, since it uses less digits than its factorization.

5351601808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 5351601808224 its reverse (4228081061535), we get a palindrome (9579682869759).

The spelling of 5351601808224 in words is "five trillion, three hundred fifty-one billion, six hundred one million, eight hundred eight thousand, two hundred twenty-four".