1005550560 has 216 divisors, whose sum is σ = 3991956696. Its totient is φ = 229824000.

The previous prime is 1005550541. The next prime is 1005550589. The reversal of 1005550560 is 650555001.

1005550560 is a `hidden beast` number, since 1 + 0 + 0 + 55 + 50 + 560 = 666.

It is a super-2 number, since 2×1005550560² = 2022263857432627200, which contains 22 as substring.

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, 63435 + ... + 77685.

It is an arithmetic number, because the mean of its divisors is an integer number (18481281).

Almost surely, 2^1005550560 is an apocalyptic number.

1005550560 is a gapful number since it is divisible by the number (10) 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 1005550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995978348).

1005550560 is an abundant number, since it is smaller than the sum of its proper divisors (2986406136).

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

1005550560 is a wasteful number, since it uses less digits than its factorization.

1005550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14286 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1005550560 is about 31710.4172157983. The cubic root of 1005550560 is about 1001.8467739930.

The spelling of 1005550560 in words is "one billion, five million, five hundred fifty thousand, five hundred sixty".