11634789196800 has 1320 divisors, whose sum is σ = 53713680229440. Its totient is φ = 2417585356800.

The previous prime is 11634789196799. The next prime is 11634789196819. The reversal of 11634789196800 is 869198743611.

11634789196800 is a `hidden beast` number, since 1 + 16 + 3 + 478 + 91 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159630766 + ... + 159703634.

It is an arithmetic number, because the mean of its divisors is an integer number (40692181992).

Almost surely, 2^{11634789196800} is an apocalyptic number.

11634789196800 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 11634789196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856840114720).

11634789196800 is an abundant number, since it is smaller than the sum of its proper divisors (42078891032640).

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

11634789196800 is a wasteful number, since it uses less digits than its factorization.

11634789196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72929 (or 72897 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 11634789196800 in words is "eleven trillion, six hundred thirty-four billion, seven hundred eighty-nine million, one hundred ninety-six thousand, eight hundred".