11263062564 has 288 divisors, whose sum is σ = 33391927296. Its totient is φ = 3170119680.

The previous prime is 11263062557. The next prime is 11263062583. The reversal of 11263062564 is 46526036211.

11263062564 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 30 + 62 + 564 = 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 95 ways as a sum of consecutive naturals, for example, 71739174 + ... + 71739330.

It is an arithmetic number, because the mean of its divisors is an integer number (115944192).

Almost surely, 2^11263062564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11263062564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695963648).

11263062564 is an abundant number, since it is smaller than the sum of its proper divisors (22128864732).

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

11263062564 is a wasteful number, since it uses less digits than its factorization.

11263062564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 11263062564 its reverse (46526036211), we get a palindrome (57789098775).

The spelling of 11263062564 in words is "eleven billion, two hundred sixty-three million, sixty-two thousand, five hundred sixty-four".