5353582450320 has 240 divisors, whose sum is σ = 19363950627840. Its totient is φ = 1317680538624.

The previous prime is 5353582450313. The next prime is 5353582450327. The reversal of 5353582450320 is 230542853535.

5353582450320 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 582 + 45 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5353582450313) and next prime (5353582450327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5353582450327) 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, 135503689 + ... + 135543191.

It is an arithmetic number, because the mean of its divisors is an integer number (80683127616).

Almost surely, 2^{5353582450320} 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 5353582450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681975313920).

5353582450320 is an abundant number, since it is smaller than the sum of its proper divisors (14010368177520).

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

5353582450320 is a wasteful number, since it uses less digits than its factorization.

5353582450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54014 (or 54005 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 5353582450320 in words is "five trillion, three hundred fifty-three billion, five hundred eighty-two million, four hundred fifty thousand, three hundred twenty".