11011000010010 has 1536 divisors, whose sum is σ = 39103502893056. Its totient is φ = 1911991910400.

The previous prime is 11011000009981. The next prime is 11011000010029. The reversal of 11011000010010 is 1001000011011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35178913614 + ... + 35178913926.

It is an arithmetic number, because the mean of its divisors is an integer number (25458009696).

Almost surely, 2^{11011000010010} is an apocalyptic number.

11011000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011000010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551751446528).

11011000010010 is an abundant number, since it is smaller than the sum of its proper divisors (28092502883046).

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

11011000010010 is a wasteful number, since it uses less digits than its factorization.

11011000010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11011000010010 its reverse (1001000011011), we get a palindrome (12012000021021).

The spelling of 11011000010010 in words is "eleven trillion, eleven billion, ten thousand, ten".