11007651216 has 80 divisors (see below), whose sum is σ = 30040309440. Its totient is φ = 3463649280.

The previous prime is 11007651209. The next prime is 11007651217. The reversal of 11007651216 is 61215670011.

It is not an unprimeable number, because it can be changed into a prime (11007651217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234796 + ... + 277748.

It is an arithmetic number, because the mean of its divisors is an integer number (375503868).

Almost surely, 2^11007651216 is an apocalyptic number.

11007651216 is a gapful number since it is divisible by the number (16) 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 11007651216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020154720).

11007651216 is an abundant number, since it is smaller than the sum of its proper divisors (19032658224).

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

11007651216 is a wasteful number, since it uses less digits than its factorization.

11007651216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43264 (or 43258 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11007651216 in words is "eleven billion, seven million, six hundred fifty-one thousand, two hundred sixteen".