1813855680 has 560 divisors, whose sum is σ = 7951500480. Its totient is φ = 382205952.

The previous prime is 1813855669. The next prime is 1813855709. The reversal of 1813855680 is 865583181.

1813855680 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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, 2358336 + ... + 2359104.

It is an arithmetic number, because the mean of its divisors is an integer number (14199108).

Almost surely, 2^1813855680 is an apocalyptic number.

1813855680 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 1813855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975750240).

1813855680 is an abundant number, since it is smaller than the sum of its proper divisors (6137644800).

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

1813855680 is a wasteful number, since it uses less digits than its factorization.

1813855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1813855680 is about 42589.3845928771. The cubic root of 1813855680 is about 1219.5536484162.

The spelling of 1813855680 in words is "one billion, eight hundred thirteen million, eight hundred fifty-five thousand, six hundred eighty".