11005501000 has 64 divisors (see below), whose sum is σ = 27733895280. Its totient is φ = 4063564800.

The previous prime is 11005500997. The next prime is 11005501009. The reversal of 11005501000 is 10550011.

It can be written as a sum of positive squares in 8 ways, for example, as 1026689764 + 9978811236 = 32042^2 + 99894^2 .

It is a super-2 number, since 2×11005501000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11005501009) by changing a digit.

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, 410289 + ... + 436288.

Almost surely, 2^11005501000 is an apocalyptic number.

11005501000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005501000 is an abundant number, since it is smaller than the sum of its proper divisors (16728394280).

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

11005501000 is a wasteful number, since it uses less digits than its factorization.

11005501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846611 (or 846597 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 11005501000 in words is "eleven billion, five million, five hundred one thousand".