5418960000 has 320 divisors, whose sum is σ = 18309514080. Its totient is φ = 1419264000.

The previous prime is 5418959993. The next prime is 5418960007. The reversal of 5418960000 is 698145.

It is an interprime number because it is at equal distance from previous prime (5418959993) and next prime (5418960007).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (5418960007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16079832 + ... + 16080168.

Almost surely, 2^5418960000 is an apocalyptic number.

5418960000 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 5418960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154757040).

5418960000 is an abundant number, since it is smaller than the sum of its proper divisors (12890554080).

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

5418960000 is an equidigital number, since it uses as much as digits as its factorization.

5418960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5418960000 is about 73613.5857026405. The cubic root of 5418960000 is about 1756.4615547049.

The spelling of 5418960000 in words is "five billion, four hundred eighteen million, nine hundred sixty thousand".