11583669012480 has 384 divisors, whose sum is σ = 41192395171200. Its totient is φ = 3087772876800.

The previous prime is 11583669012469. The next prime is 11583669012481. The reversal of 11583669012480 is 8421096638511.

It is a happy number.

11583669012480 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 3 + 66 + 90 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11583669012481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879476295 + ... + 879489465.

It is an arithmetic number, because the mean of its divisors is an integer number (107271862425).

Almost surely, 2^{11583669012480} is an apocalyptic number.

11583669012480 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 11583669012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596197585600).

11583669012480 is an abundant number, since it is smaller than the sum of its proper divisors (29608726158720).

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

11583669012480 is a wasteful number, since it uses less digits than its factorization.

11583669012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16362 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11583669012480 in words is "eleven trillion, five hundred eighty-three billion, six hundred sixty-nine million, twelve thousand, four hundred eighty".