11011001010000 has 200 divisors, whose sum is σ = 36770671243680. Its totient is φ = 2835016128000.

The previous prime is 11011001009933. The next prime is 11011001010001. The reversal of 11011001010000 is 1010011011.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5458162 + ... + 7198161.

Almost surely, 2^{11011001010000} is an apocalyptic number.

11011001010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011001010000 is an abundant number, since it is smaller than the sum of its proper divisors (25759670233680).

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

11011001010000 is a wasteful number, since it uses less digits than its factorization.

11011001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656383 (or 12656362 counting only the distinct ones).

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

Adding to 11011001010000 its reverse (1010011011), we get a palindrome (11012011021011).

The spelling of 11011001010000 in words is "eleven trillion, eleven billion, one million, ten thousand".