11216471760 has 240 divisors, whose sum is σ = 42069640704. Its totient is φ = 2760915456.

The previous prime is 11216471743. The next prime is 11216471767. The reversal of 11216471760 is 6717461211.

11216471760 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 647 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216471767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230529 + ... + 274911.

Almost surely, 2^11216471760 is an apocalyptic number.

11216471760 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 11216471760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034820352).

11216471760 is an abundant number, since it is smaller than the sum of its proper divisors (30853168944).

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

11216471760 is a wasteful number, since it uses less digits than its factorization.

11216471760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44424 (or 44406 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11216471760 in words is "eleven billion, two hundred sixteen million, four hundred seventy-one thousand, seven hundred sixty".