11663201600 has 84 divisors (see below), whose sum is σ = 28730257500. Its totient is φ = 4660162560.

The previous prime is 11663201581. The next prime is 11663201603. The reversal of 11663201600 is 610236611.

It can be written as a sum of positive squares in 6 ways, for example, as 1069028416 + 10594173184 = 32696^2 + 102928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11663201600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11663201603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1674926 + ... + 1681874.

It is an arithmetic number, because the mean of its divisors is an integer number (342026875).

Almost surely, 2^11663201600 is an apocalyptic number.

11663201600 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 11663201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365128750).

11663201600 is an abundant number, since it is smaller than the sum of its proper divisors (17067055900).

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

11663201600 is a wasteful number, since it uses less digits than its factorization.

11663201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 11663201600 in words is "eleven billion, six hundred sixty-three million, two hundred one thousand, six hundred".