2011010896680 has 128 divisors (see below), whose sum is σ = 6062423875200. Its totient is φ = 533659231232.

The previous prime is 2011010896547. The next prime is 2011010896681. The reversal of 2011010896680 is 866980101102.

It is not an unprimeable number, because it can be changed into a prime (2011010896681) 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 31 ways as a sum of consecutive naturals, for example, 62881174 + ... + 62913146.

It is an arithmetic number, because the mean of its divisors is an integer number (47362686525).

Almost surely, 2^{2011010896680} is an apocalyptic number.

2011010896680 is a gapful number since it is divisible by the number (20) 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 2011010896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031211937600).

2011010896680 is an abundant number, since it is smaller than the sum of its proper divisors (4051412978520).

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

2011010896680 is a wasteful number, since it uses less digits than its factorization.

2011010896680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34523 (or 34519 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

Adding to 2011010896680 its reverse (866980101102), we get a palindrome (2877990997782).

The spelling of 2011010896680 in words is "two trillion, eleven billion, ten million, eight hundred ninety-six thousand, six hundred eighty".