5459840000 has 220 divisors, whose sum is σ = 14388363000. Its totient is φ = 2064384000.

The previous prime is 5459839951. The next prime is 5459840011. The reversal of 5459840000 is 489545.

5459840000 = 65³ + 66³ + ... + 384³.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12159776 + ... + 12160224.

It is an arithmetic number, because the mean of its divisors is an integer number (65401650).

Almost surely, 2^5459840000 is an apocalyptic number.

5459840000 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 5459840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194181500).

5459840000 is an abundant number, since it is smaller than the sum of its proper divisors (8928523000).

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

5459840000 is an equidigital number, since it uses as much as digits as its factorization.

5459840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 5459840000 is about 73890.7301357890. The cubic root of 5459840000 is about 1760.8673410927.

The spelling of 5459840000 in words is "five billion, four hundred fifty-nine million, eight hundred forty thousand".