5521084128 has 432 divisors, whose sum is σ = 19478624256. Its totient is φ = 1451450880.

The previous prime is 5521084103. The next prime is 5521084181. The reversal of 5521084128 is 8214801255.

5521084128 is a `hidden beast` number, since 5 + 521 + 0 + 8 + 4 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5521084092 and 5521084101.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 33060301 + ... + 33060467.

It is an arithmetic number, because the mean of its divisors is an integer number (45089408).

Almost surely, 2^5521084128 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 5521084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739312128).

5521084128 is an abundant number, since it is smaller than the sum of its proper divisors (13957540128).

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

5521084128 is a wasteful number, since it uses less digits than its factorization.

5521084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5521084128 is about 74303.9980620155. The cubic root of 5521084128 is about 1767.4268768793.

The spelling of 5521084128 in words is "five billion, five hundred twenty-one million, eighty-four thousand, one hundred twenty-eight".