811280680560 has 720 divisors, whose sum is σ = 3219009970176. Its totient is φ = 179366565888.

The previous prime is 811280680543. The next prime is 811280680571. The reversal of 811280680560 is 65086082118.

811280680560 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 8 + 0 + 6 + 80 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 2118226129 + ... + 2118226511.

Almost surely, 2^811280680560 is an apocalyptic number.

811280680560 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 811280680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609504985088).

811280680560 is an abundant number, since it is smaller than the sum of its proper divisors (2407729289616).

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

811280680560 is a wasteful number, since it uses less digits than its factorization.

811280680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 811280680560 in words is "eight hundred eleven billion, two hundred eighty million, six hundred eighty thousand, five hundred sixty".