11007713800 has 96 divisors (see below), whose sum is σ = 26185321800. Its totient is φ = 4302305280.

The previous prime is 11007713797. The next prime is 11007713807. The reversal of 11007713800 is 831770011.

It can be written as a sum of positive squares in 12 ways, for example, as 2175849316 + 8831864484 = 46646^2 + 93978^2 .

It is not an unprimeable number, because it can be changed into a prime (11007713807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587942 + ... + 1594858.

Almost surely, 2^11007713800 is an apocalyptic number.

11007713800 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 11007713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092660900).

11007713800 is an abundant number, since it is smaller than the sum of its proper divisors (15177608000).

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

11007713800 is a wasteful number, since it uses less digits than its factorization.

11007713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The spelling of 11007713800 in words is "eleven billion, seven million, seven hundred thirteen thousand, eight hundred".