11661019200 has 210 divisors, whose sum is σ = 42863449706. Its totient is φ = 3109570560.

The previous prime is 11661019163. The next prime is 11661019213. The reversal of 11661019200 is 291016611.

11661019200 is a `hidden beast` number, since 1 + 16 + 610 + 19 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3326059584 + 8334959616 = 57672^2 + 91296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84612 + ... + 174588.

Almost surely, 2^11661019200 is an apocalyptic number.

11661019200 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 11661019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431724853).

11661019200 is an abundant number, since it is smaller than the sum of its proper divisors (31202430506).

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

11661019200 is an equidigital number, since it uses as much as digits as its factorization.

11661019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90011 (or 89987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11661019200 in words is "eleven billion, six hundred sixty-one million, nineteen thousand, two hundred".