5511105001000 has 64 divisors (see below), whose sum is σ = 12896341782480. Its totient is φ = 2204381132800.

The previous prime is 5511105000967. The next prime is 5511105001037. The reversal of 5511105001000 is 1005011155.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 326130082084 + 5184974918916 = 571078^2 + 2277054^2 .

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 15 ways as a sum of consecutive naturals, for example, 59370624 + ... + 59463376.

Almost surely, 2^{5511105001000} is an apocalyptic number.

5511105001000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5511105001000 is an abundant number, since it is smaller than the sum of its proper divisors (7385236781480).

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

5511105001000 is a wasteful number, since it uses less digits than its factorization.

5511105001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152191 (or 152177 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 5511105001000 in words is "five trillion, five hundred eleven billion, one hundred five million, one thousand".