11284103520000 has 1260 divisors, whose sum is σ = 42713336856960. Its totient is φ = 2972547072000.

The previous prime is 11284103519939. The next prime is 11284103520023. The reversal of 11284103520000 is 2530148211.

11284103520000 is a `hidden beast` number, since 1 + 12 + 8 + 410 + 35 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 10380959457 + ... + 10380960543.

It is an arithmetic number, because the mean of its divisors is an integer number (33899473696).

Almost surely, 2^{11284103520000} is an apocalyptic number.

11284103520000 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 11284103520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356668428480).

11284103520000 is an abundant number, since it is smaller than the sum of its proper divisors (31429233336960).

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

11284103520000 is an frugal number, since it uses more digits than its factorization.

11284103520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11284103520000 its reverse (2530148211), we get a palindrome (11286633668211).

The spelling of 11284103520000 in words is "eleven trillion, two hundred eighty-four billion, one hundred three million, five hundred twenty thousand".