11469198988800 has 2880 divisors, whose sum is σ = 51064891637760. Its totient is φ = 2401783971840.

The previous prime is 11469198988769. The next prime is 11469198988811. The reversal of 11469198988800 is 888989196411.

11469198988800 is a `hidden beast` number, since 1 + 1 + 469 + 1 + 9 + 8 + 9 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51431385489 + ... + 51431385711.

It is an arithmetic number, because the mean of its divisors is an integer number (17730865152).

Almost surely, 2^{11469198988800} is an apocalyptic number.

11469198988800 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 11469198988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532445818880).

11469198988800 is an abundant number, since it is smaller than the sum of its proper divisors (39595692648960).

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

11469198988800 is a wasteful number, since it uses less digits than its factorization.

11469198988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 72.

The spelling of 11469198988800 in words is "eleven trillion, four hundred sixty-nine billion, one hundred ninety-eight million, nine hundred eighty-eight thousand, eight hundred".