11713405600 has 144 divisors (see below), whose sum is σ = 30883445208. Its totient is φ = 4312535040.

The previous prime is 11713405597. The next prime is 11713405601. The reversal of 11713405600 is 650431711.

It can be written as a sum of positive squares in 12 ways, for example, as 287505936 + 11425899664 = 16956^2 + 106892^2 .

It is a super-2 number, since 2×11713405600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11713405601) 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, 4127382 + ... + 4130218.

Almost surely, 2^11713405600 is an apocalyptic number.

11713405600 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 11713405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441722604).

11713405600 is an abundant number, since it is smaller than the sum of its proper divisors (19170039608).

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

11713405600 is a wasteful number, since it uses less digits than its factorization.

11713405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 11713405600 in words is "eleven billion, seven hundred thirteen million, four hundred five thousand, six hundred".