1005583138560 has 3456 divisors, whose sum is σ = 5039785820160. Its totient is φ = 178362777600.

The previous prime is 1005583138507. The next prime is 1005583138577. The reversal of 1005583138560 is 658313855001.

1005583138560 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 83 + 1 + 3 + 8 + 560 = 666.

It is a super-2 number, since 2×1005583138560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10366836432 + ... + 10366836528.

It is an arithmetic number, because the mean of its divisors is an integer number (1458271360).

Almost surely, 2^{1005583138560} is an apocalyptic number.

1005583138560 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 1005583138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519892910080).

1005583138560 is an abundant number, since it is smaller than the sum of its proper divisors (4034202681600).

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

1005583138560 is a wasteful number, since it uses less digits than its factorization.

1005583138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1005583138560 in words is "one trillion, five billion, five hundred eighty-three million, one hundred thirty-eight thousand, five hundred sixty".