11321671284000 has 4608 divisors, whose sum is σ = 55635600384000. Its totient is φ = 2154055680000.

The previous prime is 11321671283953. The next prime is 11321671284017. The reversal of 11321671284000 is 48217612311.

11321671284000 is a `hidden beast` number, since 1 + 13 + 216 + 7 + 1 + 28 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 105810011947 + ... + 105810012053.

It is an arithmetic number, because the mean of its divisors is an integer number (12073698000).

Almost surely, 2^{11321671284000} is an apocalyptic number.

11321671284000 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 11321671284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817800192000).

11321671284000 is an abundant number, since it is smaller than the sum of its proper divisors (44313929100000).

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

11321671284000 is a wasteful number, since it uses less digits than its factorization.

11321671284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11321671284000 its reverse (48217612311), we get a palindrome (11369888896311).

The spelling of 11321671284000 in words is "eleven trillion, three hundred twenty-one billion, six hundred seventy-one million, two hundred eighty-four thousand".