5389165516800 has 576 divisors, whose sum is σ = 19278708583680. Its totient is φ = 1320173568000.

The previous prime is 5389165516771. The next prime is 5389165516829. The reversal of 5389165516800 is 86155619835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5389165516771) and next prime (5389165516829).

It is a super-2 number, since 2×5389165516800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421318405 + ... + 421331195.

It is an arithmetic number, because the mean of its divisors is an integer number (33469980180).

Almost surely, 2^{5389165516800} is an apocalyptic number.

5389165516800 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 5389165516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639354291840).

5389165516800 is an abundant number, since it is smaller than the sum of its proper divisors (13889543066880).

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

5389165516800 is a wasteful number, since it uses less digits than its factorization.

5389165516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13050 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 5389165516800 in words is "five trillion, three hundred eighty-nine billion, one hundred sixty-five million, five hundred sixteen thousand, eight hundred".