11571216384 has 360 divisors, whose sum is σ = 38376710400. Its totient is φ = 3036413952.

The previous prime is 11571216367. The next prime is 11571216389. The reversal of 11571216384 is 48361217511.

It is a super-3 number, since 3×11571216384³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (40320) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11571216389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58146717 + ... + 58146915.

Almost surely, 2^11571216384 is an apocalyptic number.

11571216384 is a gapful number since it is divisible by the number (14) 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 11571216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188355200).

11571216384 is an abundant number, since it is smaller than the sum of its proper divisors (26805494016).

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

11571216384 is an equidigital number, since it uses as much as digits as its factorization.

11571216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 224 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The spelling of 11571216384 in words is "eleven billion, five hundred seventy-one million, two hundred sixteen thousand, three hundred eighty-four".