11211776000 has 112 divisors (see below), whose sum is σ = 27985440600. Its totient is φ = 4484300800.

The previous prime is 11211775973. The next prime is 11211776003. The reversal of 11211776000 is 67711211.

It can be written as a sum of positive squares in 4 ways, for example, as 947654656 + 10264121344 = 30784^2 + 101312^2 .

It is not an unprimeable number, because it can be changed into a prime (11211776003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018526 + ... + 1029474.

Almost surely, 2^11211776000 is an apocalyptic number.

11211776000 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 11211776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992720300).

11211776000 is an abundant number, since it is smaller than the sum of its proper divisors (16773664600).

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

11211776000 is an frugal number, since it uses more digits than its factorization.

11211776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 26.

The spelling of 11211776000 in words is "eleven billion, two hundred eleven million, seven hundred seventy-six thousand".