11960729600 has 90 divisors (see below), whose sum is σ = 29662719954. Its totient is φ = 4784128000.

The previous prime is 11960729591. The next prime is 11960729617. The reversal of 11960729600 is 692706911.

It can be written as a sum of positive squares in 3 ways, for example, as 289816576 + 11670913024 = 17024^2 + 108032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395000 + ... + 424200.

Almost surely, 2^11960729600 is an apocalyptic number.

11960729600 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 11960729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831359977).

11960729600 is an abundant number, since it is smaller than the sum of its proper divisors (17701990354).

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

11960729600 is an frugal number, since it uses more digits than its factorization.

11960729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29239 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 11960729600 in words is "eleven billion, nine hundred sixty million, seven hundred twenty-nine thousand, six hundred".