1108635828480 has 864 divisors, whose sum is σ = 4285532160000. Its totient is φ = 273605713920.

The previous prime is 1108635828409. The next prime is 1108635828499. The reversal of 1108635828480 is 848285368011.

1108635828480 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 6 + 358 + 284 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1108635828480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221769021 + ... + 221774019.

Almost surely, 2^{1108635828480} is an apocalyptic number.

1108635828480 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 1108635828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080000).

1108635828480 is an abundant number, since it is smaller than the sum of its proper divisors (3176896331520).

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

1108635828480 is an equidigital number, since it uses as much as digits as its factorization.

1108635828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1108635828480 in words is "one trillion, one hundred eight billion, six hundred thirty-five million, eight hundred twenty-eight thousand, four hundred eighty".