11448758880 has 288 divisors, whose sum is σ = 42185707200. Its totient is φ = 2810695680.

The previous prime is 11448758873. The next prime is 11448758891. The reversal of 11448758880 is 8885784411.

11448758880 is a `hidden beast` number, since 1 + 1 + 4 + 487 + 5 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11212770 + ... + 11213790.

It is an arithmetic number, because the mean of its divisors is an integer number (146478150).

Almost surely, 2^11448758880 is an apocalyptic number.

11448758880 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 11448758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092853600).

11448758880 is an abundant number, since it is smaller than the sum of its proper divisors (30736948320).

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

11448758880 is a wasteful number, since it uses less digits than its factorization.

11448758880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 11448758880 in words is "eleven billion, four hundred forty-eight million, seven hundred fifty-eight thousand, eight hundred eighty".