11021287680 has 1080 divisors, whose sum is σ = 46437059592. Its totient is φ = 2484338688.

The previous prime is 11021287661. The next prime is 11021287691. The reversal of 11021287680 is 8678212011.

It can be written as a sum of positive squares in 12 ways, for example, as 2341011456 + 8680276224 = 48384^2 + 93168^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297872622 + ... + 297872658.

Almost surely, 2^11021287680 is an apocalyptic number.

11021287680 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 11021287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218529796).

11021287680 is an abundant number, since it is smaller than the sum of its proper divisors (35415771912).

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

11021287680 is a wasteful number, since it uses less digits than its factorization.

11021287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11021287680 its reverse (8678212011), we get a palindrome (19699499691).

The spelling of 11021287680 in words is "eleven billion, twenty-one million, two hundred eighty-seven thousand, six hundred eighty".