5389328440320 has 1408 divisors, whose sum is σ = 21107841269760. Its totient is φ = 1157989662720.

The previous prime is 5389328440303. The next prime is 5389328440369. The reversal of 5389328440320 is 230448239835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×5389328440320² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 3470268664 + ... + 3470270216.

Almost surely, 2^{5389328440320} 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 5389328440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553920634880).

5389328440320 is an abundant number, since it is smaller than the sum of its proper divisors (15718512829440).

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

5389328440320 is a wasteful number, since it uses less digits than its factorization.

5389328440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 5389328440320 in words is "five trillion, three hundred eighty-nine billion, three hundred twenty-eight million, four hundred forty thousand, three hundred twenty".