11185058880 has 448 divisors, whose sum is σ = 42082882560. Its totient is φ = 2786918400.

The previous prime is 11185058873. The next prime is 11185058887. The reversal of 11185058880 is 8885058111.

11185058880 is a `hidden beast` number, since 1 + 1 + 18 + 50 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11185058873) and next prime (11185058887).

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

It is not an unprimeable number, because it can be changed into a prime (11185058887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39804340 + ... + 39804620.

Almost surely, 2^11185058880 is an apocalyptic number.

11185058880 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 11185058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041441280).

11185058880 is an abundant number, since it is smaller than the sum of its proper divisors (30897823680).

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

11185058880 is a wasteful number, since it uses less digits than its factorization.

11185058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 45.

The spelling of 11185058880 in words is "eleven billion, one hundred eighty-five million, fifty-eight thousand, eight hundred eighty".