5459871744 has 384 divisors, whose sum is σ = 17407353600. Its totient is φ = 1707982848.

The previous prime is 5459871743. The next prime is 5459871761. The reversal of 5459871744 is 4471789545.

5459871744 is a `hidden beast` number, since 5 + 4 + 598 + 7 + 1 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5459871743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103016422 + ... + 103016474.

It is an arithmetic number, because the mean of its divisors is an integer number (45331650).

Almost surely, 2^5459871744 is an apocalyptic number.

5459871744 is a gapful number since it is divisible by the number (54) 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 5459871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703676800).

5459871744 is an abundant number, since it is smaller than the sum of its proper divisors (11947481856).

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

5459871744 is an frugal number, since it uses more digits than its factorization.

5459871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 5459871744 is about 73890.9449391466. The cubic root of 5459871744 is about 1760.8707536997.

The spelling of 5459871744 in words is "five billion, four hundred fifty-nine million, eight hundred seventy-one thousand, seven hundred forty-four".