11066682510 has 320 divisors, whose sum is σ = 33370444800. Its totient is φ = 2614042368.

The previous prime is 11066682509. The next prime is 11066682527. The reversal of 11066682510 is 1528666011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29199501 + ... + 29199879.

It is an arithmetic number, because the mean of its divisors is an integer number (104282640).

Almost surely, 2^11066682510 is an apocalyptic number.

11066682510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11066682510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685222400).

11066682510 is an abundant number, since it is smaller than the sum of its proper divisors (22303762290).

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

11066682510 is a wasteful number, since it uses less digits than its factorization.

11066682510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11066682510 in words is "eleven billion, sixty-six million, six hundred eighty-two thousand, five hundred ten".