811010961600 has 672 divisors, whose sum is σ = 3126648738816. Its totient is φ = 180220723200.

The previous prime is 811010961577. The next prime is 811010961647. The reversal of 811010961600 is 6169010118.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174146472 + ... + 174151128.

Almost surely, 2^811010961600 is an apocalyptic number.

811010961600 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 811010961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563324369408).

811010961600 is an abundant number, since it is smaller than the sum of its proper divisors (2315637777216).

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

811010961600 is a wasteful number, since it uses less digits than its factorization.

811010961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

Adding to 811010961600 its reverse (6169010118), we get a palindrome (817179971718).

The spelling of 811010961600 in words is "eight hundred eleven billion, ten million, nine hundred sixty-one thousand, six hundred".