5526480960 has 1344 divisors, whose sum is σ = 26840346624. Its totient is φ = 1045094400.

The previous prime is 5526480941. The next prime is 5526480977. The reversal of 5526480960 is 690846255.

5526480960 is a `hidden beast` number, since 552 + 6 + 4 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837725 + ... + 77837795.

It is an arithmetic number, because the mean of its divisors is an integer number (19970496).

Almost surely, 2^5526480960 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 5526480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420173312).

5526480960 is an abundant number, since it is smaller than the sum of its proper divisors (21313865664).

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

5526480960 is a wasteful number, since it uses less digits than its factorization.

5526480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5526480960 is about 74340.3050841197. The cubic root of 5526480960 is about 1768.0025729711.

The spelling of 5526480960 in words is "five billion, five hundred twenty-six million, four hundred eighty thousand, nine hundred sixty".