5527884960 has 384 divisors, whose sum is σ = 20971560960. Its totient is φ = 1351876608.

The previous prime is 5527884959. The next prime is 5527884961. The reversal of 5527884960 is 694887255.

5527884960 is a `hidden beast` number, since 55 + 27 + 88 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5527884959) and next prime (5527884961).

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

It is a junction number, because it is equal to n+sod(n) for n = 5527884897 and 5527884906.

It is not an unprimeable number, because it can be changed into a prime (5527884961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14432929 + ... + 14433311.

It is an arithmetic number, because the mean of its divisors is an integer number (54613440).

Almost surely, 2^5527884960 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 5527884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485780480).

5527884960 is an abundant number, since it is smaller than the sum of its proper divisors (15443676000).

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

5527884960 is a wasteful number, since it uses less digits than its factorization.

5527884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5527884960 is about 74349.7475449648. The cubic root of 5527884960 is about 1768.1522803801.

The spelling of 5527884960 in words is "five billion, five hundred twenty-seven million, eight hundred eighty-four thousand, nine hundred sixty".