11953048900 has 135 divisors (see below), whose sum is σ = 29089935651. Its totient is φ = 4261246080.

The previous prime is 11953048873. The next prime is 11953049029. The reversal of 11953048900 is 984035911.

The square root of 11953048900 is 109330.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9367529796 + 2585519104 = 96786^2 + 50848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 412174086 + ... + 412174114.

Almost surely, 2^11953048900 is an apocalyptic number.

11953048900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11953048900 is the 109330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953048900

11953048900 is an abundant number, since it is smaller than the sum of its proper divisors (17136886751).

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

11953048900 is an frugal number, since it uses more digits than its factorization.

11953048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 11953048900 in words is "eleven billion, nine hundred fifty-three million, forty-eight thousand, nine hundred".