11648581920 has 192 divisors, whose sum is σ = 40823879040. Its totient is φ = 3102188544.

The previous prime is 11648581871. The next prime is 11648581933. The reversal of 11648581920 is 2918584611.

It is a happy number.

11648581920 is a `hidden beast` number, since 1 + 1 + 6 + 48 + 581 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4720527 + ... + 4722993.

It is an arithmetic number, because the mean of its divisors is an integer number (212624370).

Almost surely, 2^11648581920 is an apocalyptic number.

11648581920 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 11648581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20411939520).

11648581920 is an abundant number, since it is smaller than the sum of its proper divisors (29175297120).

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

11648581920 is a wasteful number, since it uses less digits than its factorization.

11648581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11648581920 in words is "eleven billion, six hundred forty-eight million, five hundred eighty-one thousand, nine hundred twenty".