809401014772560 has 480 divisors, whose sum is σ = 3139926279689472. Its totient is φ = 183020395069440.

The previous prime is 809401014772531. The next prime is 809401014772561. The reversal of 809401014772560 is 65277410104908.

809401014772560 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 0 + 1 + 0 + 1 + 4 + 7 + 72 + 560 = 666.

809401014772560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 809401014772497 and 809401014772506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809401014772561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1147048650 + ... + 1147754070.

Almost surely, 2^{809401014772560} is an apocalyptic number.

809401014772560 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 809401014772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569963139844736).

809401014772560 is an abundant number, since it is smaller than the sum of its proper divisors (2330525264916912).

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

809401014772560 is a wasteful number, since it uses less digits than its factorization.

809401014772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707891 (or 707882 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 809401014772560 in words is "eight hundred nine trillion, four hundred one billion, fourteen million, seven hundred seventy-two thousand, five hundred sixty".