11263118211072 has 1512 divisors, whose sum is σ = 42578940615120. Its totient is φ = 2967232020480.

The previous prime is 11263118211017. The next prime is 11263118211109. The reversal of 11263118211072 is 27011281136211.

It is a happy number.

11263118211072 is a `hidden beast` number, since 1 + 1 + 2 + 631 + 1 + 8 + 2 + 1 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 12363466297 + ... + 12363467207.

It is an arithmetic number, because the mean of its divisors is an integer number (28160675010).

Almost surely, 2^{11263118211072} is an apocalyptic number.

11263118211072 is a gapful number since it is divisible by the number (12) 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 11263118211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289470307560).

11263118211072 is an abundant number, since it is smaller than the sum of its proper divisors (31315822404048).

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

11263118211072 is an frugal number, since it uses more digits than its factorization.

11263118211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 11263118211072 its reverse (27011281136211), we get a palindrome (38274399347283).

The spelling of 11263118211072 in words is "eleven trillion, two hundred sixty-three billion, one hundred eighteen million, two hundred eleven thousand, seventy-two".