11010505140 has 144 divisors (see below), whose sum is σ = 34949508048. Its totient is φ = 2802788352.

The previous prime is 11010505117. The next prime is 11010505151. The reversal of 11010505140 is 4150501011.

It is a happy number.

11010505140 is a `hidden beast` number, since 1 + 10 + 10 + 505 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 774731556 + 10235773584 = 27834^2 + 101172^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337384 + ... + 368576.

It is an arithmetic number, because the mean of its divisors is an integer number (242704917).

Almost surely, 2^11010505140 is an apocalyptic number.

11010505140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474754024).

11010505140 is an abundant number, since it is smaller than the sum of its proper divisors (23939002908).

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

11010505140 is a wasteful number, since it uses less digits than its factorization.

11010505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31298 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 11010505140 in words is "eleven billion, ten million, five hundred five thousand, one hundred forty".