11963984400 has 135 divisors (see below), whose sum is σ = 41541136429. Its totient is φ = 3188645760.

The previous prime is 11963984393. The next prime is 11963984407. The reversal of 11963984400 is 448936911.

The square root of 11963984400 is 109380.

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

11963984400 is a `hidden beast` number, since 1 + 1 + 9 + 639 + 8 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11963984393) and next prime (11963984407).

It can be written as a sum of positive squares in only one way, i.e., 4307034384 + 7656950016 = 65628^2 + 87504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11963984407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6561889 + ... + 6563711.

Almost surely, 2^11963984400 is an apocalyptic number.

11963984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11963984400 is the 109380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11963984400

11963984400 is an abundant number, since it is smaller than the sum of its proper divisors (29577152029).

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

11963984400 is an equidigital number, since it uses as much as digits as its factorization.

11963984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11963984400 in words is "eleven billion, nine hundred sixty-three million, nine hundred eighty-four thousand, four hundred".