9105086880 has 480 divisors, whose sum is σ = 33616332288. Its totient is φ = 2318284800.

The previous prime is 9105086773. The next prime is 9105086923. The reversal of 9105086880 is 886805019.

9105086880 is a `hidden beast` number, since 9 + 1 + 0 + 508 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52630474 + ... + 52630646.

Almost surely, 2^9105086880 is an apocalyptic number.

9105086880 is a gapful number since it is divisible by the number (90) 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 9105086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808166144).

9105086880 is an abundant number, since it is smaller than the sum of its proper divisors (24511245408).

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

9105086880 is a wasteful number, since it uses less digits than its factorization.

9105086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

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

The square root of 9105086880 is about 95420.5789125176. The cubic root of 9105086880 is about 2088.1484238526.

The spelling of 9105086880 in words is "nine billion, one hundred five million, eighty-six thousand, eight hundred eighty".