11583355887648 has 384 divisors, whose sum is σ = 36045392947200. Its totient is φ = 3606293643264.

The previous prime is 11583355887611. The next prime is 11583355887689. The reversal of 11583355887648 is 84678855338511.

11583355887648 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 3 + 3 + 558 + 8 + 7 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142286161 + ... + 2142291567.

It is an arithmetic number, because the mean of its divisors is an integer number (93868210800).

Almost surely, 2^{11583355887648} is an apocalyptic number.

11583355887648 is a gapful number since it is divisible by the number (18) 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 11583355887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022696473600).

11583355887648 is an abundant number, since it is smaller than the sum of its proper divisors (24462037059552).

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

11583355887648 is a wasteful number, since it uses less digits than its factorization.

11583355887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6515 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

The spelling of 11583355887648 in words is "eleven trillion, five hundred eighty-three billion, three hundred fifty-five million, eight hundred eighty-seven thousand, six hundred forty-eight".