10011011000000 has 784 divisors, whose sum is σ = 27543089943936. Its totient is φ = 3594240000000.

The previous prime is 10011010999981. The next prime is 10011011000033. The reversal of 10011011000000 is 11011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 111 ways as a sum of consecutive naturals, for example, 36940999865 + ... + 36941000135.

Almost surely, 2^{10011011000000} is an apocalyptic number.

10011011000000 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 10011011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771544971968).

10011011000000 is an abundant number, since it is smaller than the sum of its proper divisors (17532078943936).

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

10011011000000 is an frugal number, since it uses more digits than its factorization.

10011011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011011000000 its reverse (11011001), we get a palindrome (10011022011001).

The spelling of 10011011000000 in words is "ten trillion, eleven billion, eleven million", and thus it is an aban number and an uban number.