5389168640000 has 640 divisors, whose sum is σ = 14902803701280. Its totient is φ = 1937768448000.

The previous prime is 5389168639979. The next prime is 5389168640039. The reversal of 5389168640000 is 468619835.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (50).

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 39 ways as a sum of consecutive naturals, for example, 8007679664 + ... + 8007680336.

Almost surely, 2^{5389168640000} is an apocalyptic number.

5389168640000 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 5389168640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451401850640).

5389168640000 is an abundant number, since it is smaller than the sum of its proper divisors (9513635061280).

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

5389168640000 is an frugal number, since it uses more digits than its factorization.

5389168640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 5389168640000 in words is "five trillion, three hundred eighty-nine billion, one hundred sixty-eight million, six hundred forty thousand".