11522416589376 has 448 divisors, whose sum is σ = 38810319575040. Its totient is φ = 2929986109440.

The previous prime is 11522416589357. The next prime is 11522416589399. The reversal of 11522416589376 is 67398561422511.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365903040 + ... + 365934528.

Almost surely, 2^{11522416589376} is an apocalyptic number.

11522416589376 is a gapful number since it is divisible by the number (16) 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 11522416589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405159787520).

11522416589376 is an abundant number, since it is smaller than the sum of its proper divisors (27287902985664).

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

11522416589376 is a wasteful number, since it uses less digits than its factorization.

11522416589376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32042 (or 32032 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 11522416589376 in words is "eleven trillion, five hundred twenty-two billion, four hundred sixteen million, five hundred eighty-nine thousand, three hundred seventy-six".