5479054560 has 288 divisors, whose sum is σ = 21806366400. Its totient is φ = 1252242432.

The previous prime is 5479054531. The next prime is 5479054561. The reversal of 5479054560 is 654509745.

5479054560 is a `hidden beast` number, since 5 + 47 + 9 + 0 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5479054561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488374 + ... + 499466.

It is an arithmetic number, because the mean of its divisors is an integer number (75716550).

Almost surely, 2^5479054560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5479054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903183200).

5479054560 is an abundant number, since it is smaller than the sum of its proper divisors (16327311840).

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

5479054560 is a wasteful number, since it uses less digits than its factorization.

5479054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5479054560 is about 74020.6360415796. The cubic root of 5479054560 is about 1762.9305687157.

The spelling of 5479054560 in words is "five billion, four hundred seventy-nine million, fifty-four thousand, five hundred sixty".