1005560011100 has 36 divisors (see below), whose sum is σ = 2193489691008. Its totient is φ = 400118112000.

The previous prime is 1005560011097. The next prime is 1005560011123. The reversal of 1005560011100 is 11100655001.

It is a super-2 number, since 2×1005560011100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26304461 + ... + 26342660.

Almost surely, 2^{1005560011100} is an apocalyptic number.

1005560011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005560011100 is an abundant number, since it is smaller than the sum of its proper divisors (1187929679908).

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

1005560011100 is a wasteful number, since it uses less digits than its factorization.

1005560011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52647326 (or 52647319 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1005560011100 its reverse (11100655001), we get a palindrome (1016660666101).

The spelling of 1005560011100 in words is "one trillion, five billion, five hundred sixty million, eleven thousand, one hundred".