11863680400 has 240 divisors, whose sum is σ = 33632847360. Its totient is φ = 3964723200.

The previous prime is 11863680397. The next prime is 11863680403. The reversal of 11863680400 is 408636811.

It is an interprime number because it is at equal distance from previous prime (11863680397) and next prime (11863680403).

It is a self number, because there is not a number n which added to its sum of digits gives 11863680400.

It is not an unprimeable number, because it can be changed into a prime (11863680403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24767361 + ... + 24767839.

It is an arithmetic number, because the mean of its divisors is an integer number (140136864).

Almost surely, 2^11863680400 is an apocalyptic number.

11863680400 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 11863680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816423680).

11863680400 is an abundant number, since it is smaller than the sum of its proper divisors (21769166960).

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

11863680400 is a wasteful number, since it uses less digits than its factorization.

11863680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 11863680400 in words is "eleven billion, eight hundred sixty-three million, six hundred eighty thousand, four hundred".