11959609600 has 81 divisors (see below), whose sum is σ = 29623572937. Its totient is φ = 4780344320.

The previous prime is 11959609579. The next prime is 11959609619. The reversal of 11959609600 is 690695911.

The square root of 11959609600 is 109360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4305459456 + 7654150144 = 65616^2 + 87488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8748117 + ... + 8749483.

Almost surely, 2^11959609600 is an apocalyptic number.

11959609600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11959609600 is the 109360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11959609600

11959609600 is an abundant number, since it is smaller than the sum of its proper divisors (17663963337).

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

11959609600 is an frugal number, since it uses more digits than its factorization.

11959609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The spelling of 11959609600 in words is "eleven billion, nine hundred fifty-nine million, six hundred nine thousand, six hundred".