11020680240 has 160 divisors (see below), whose sum is σ = 34668781056. Its totient is φ = 2895636480.

The previous prime is 11020680127. The next prime is 11020680241. The reversal of 11020680240 is 4208602011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11020680240.

It is not an unprimeable number, because it can be changed into a prime (11020680241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14481460 + ... + 14482220.

Almost surely, 2^11020680240 is an apocalyptic number.

11020680240 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 11020680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334390528).

11020680240 is an abundant number, since it is smaller than the sum of its proper divisors (23648100816).

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

11020680240 is a wasteful number, since it uses less digits than its factorization.

11020680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 11020680240 in words is "eleven billion, twenty million, six hundred eighty thousand, two hundred forty".