811680860160 has 480 divisors, whose sum is σ = 2938424088600. Its totient is φ = 214283059200.

The previous prime is 811680860141. The next prime is 811680860257. The reversal of 811680860160 is 61068086118.

It can be written as a sum of positive squares in 4 ways, for example, as 795549828096 + 16131032064 = 891936^2 + 127008^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83768596 + ... + 83778284.

Almost surely, 2^811680860160 is an apocalyptic number.

811680860160 is a gapful number since it is divisible by the number (80) 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 811680860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469212044300).

811680860160 is an abundant number, since it is smaller than the sum of its proper divisors (2126743228440).

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

811680860160 is a wasteful number, since it uses less digits than its factorization.

811680860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 811680860160 in words is "eight hundred eleven billion, six hundred eighty million, eight hundred sixty thousand, one hundred sixty".