11287816704 has 240 divisors, whose sum is σ = 34502925600. Its totient is φ = 3542704128.

The previous prime is 11287816681. The next prime is 11287816733. The reversal of 11287816704 is 40761878211.

It is a self number, because there is not a number n which added to its sum of digits gives 11287816704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20049127 + ... + 20049689.

It is an arithmetic number, because the mean of its divisors is an integer number (143762190).

Almost surely, 2^11287816704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11287816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251462800).

11287816704 is an abundant number, since it is smaller than the sum of its proper divisors (23215108896).

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

11287816704 is a wasteful number, since it uses less digits than its factorization.

11287816704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11287816704 in words is "eleven billion, two hundred eighty-seven million, eight hundred sixteen thousand, seven hundred four".