5516445600 has 576 divisors, whose sum is σ = 21497374080. Its totient is φ = 1360281600.

The previous prime is 5516445593. The next prime is 5516445611. The reversal of 5516445600 is 65446155.

5516445600 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 4 + 45 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30477510 + ... + 30477690.

It is an arithmetic number, because the mean of its divisors is an integer number (37321830).

Almost surely, 2^5516445600 is an apocalyptic number.

5516445600 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 5516445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748687040).

5516445600 is an abundant number, since it is smaller than the sum of its proper divisors (15980928480).

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

5516445600 is a wasteful number, since it uses less digits than its factorization.

5516445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5516445600 is about 74272.7783242286. The cubic root of 5516445600 is about 1766.9317714582.

The spelling of 5516445600 in words is "five billion, five hundred sixteen million, four hundred forty-five thousand, six hundred".