1005510111000 has 128 divisors (see below), whose sum is σ = 3157175136960. Its totient is φ = 266428032000.

The previous prime is 1005510110987. The next prime is 1005510111019. The reversal of 1005510111000 is 1110155001.

It is a super-2 number, since 2×1005510111000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 596421 + ... + 1538420.

Almost surely, 2^{1005510111000} is an apocalyptic number.

1005510111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005510111000 is an abundant number, since it is smaller than the sum of its proper divisors (2151665025960).

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

1005510111000 is a wasteful number, since it uses less digits than its factorization.

1005510111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135022 (or 2135008 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 1005510111000 its reverse (1110155001), we get a palindrome (1006620266001).

The spelling of 1005510111000 in words is "one trillion, five billion, five hundred ten million, one hundred eleven thousand".