1005560105550 has 384 divisors, whose sum is σ = 3438817901568. Its totient is φ = 187660800000.

The previous prime is 1005560105527. The next prime is 1005560105551. The reversal of 1005560105550 is 555010655001.

It is a super-2 number, since 2×1005560105550² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005560105551) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5465050 + ... + 5646050.

It is an arithmetic number, because the mean of its divisors is an integer number (8955254952).

Almost surely, 2^{1005560105550} is an apocalyptic number.

1005560105550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005560105550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719408950784).

1005560105550 is an abundant number, since it is smaller than the sum of its proper divisors (2433257796018).

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

1005560105550 is a wasteful number, since it uses less digits than its factorization.

1005560105550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181084 (or 181079 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 1005560105550 in words is "one trillion, five billion, five hundred sixty million, one hundred five thousand, five hundred fifty".