5506905600 has 360 divisors, whose sum is σ = 22526378160. Its totient is φ = 1258536960.

The previous prime is 5506905589. The next prime is 5506905637. The reversal of 5506905600 is 65096055.

5506905600 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5506905600² = 60652018574622720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 802986 + ... + 809814.

Almost surely, 2^5506905600 is an apocalyptic number.

5506905600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263189080).

5506905600 is an abundant number, since it is smaller than the sum of its proper divisors (17019472560).

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

5506905600 is a wasteful number, since it uses less digits than its factorization.

5506905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5506905600 is about 74208.5278118357. The cubic root of 5506905600 is about 1765.9126215229.

The spelling of 5506905600 in words is "five billion, five hundred six million, nine hundred five thousand, six hundred".