5506626528 has 288 divisors, whose sum is σ = 17511975936. Its totient is φ = 1630347264.

The previous prime is 5506626523. The next prime is 5506626539. The reversal of 5506626528 is 8256266055.

5506626528 is a `hidden beast` number, since 5 + 506 + 62 + 65 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506626523) 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, 17592900 + ... + 17593212.

It is an arithmetic number, because the mean of its divisors is an integer number (60805472).

Almost surely, 2^5506626528 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 5506626528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755987968).

5506626528 is an abundant number, since it is smaller than the sum of its proper divisors (12005349408).

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

5506626528 is a wasteful number, since it uses less digits than its factorization.

5506626528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5506626528 is about 74206.6474650351. The cubic root of 5506626528 is about 1765.8827907898.

The spelling of 5506626528 in words is "five billion, five hundred six million, six hundred twenty-six thousand, five hundred twenty-eight".