809525471680 has 224 divisors, whose sum is σ = 1999480367808. Its totient is φ = 311980032000.

The previous prime is 809525471641. The next prime is 809525471701. The reversal of 809525471680 is 86174525908.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434993950 + ... + 434995810.

It is an arithmetic number, because the mean of its divisors is an integer number (8926251642).

Almost surely, 2^809525471680 is an apocalyptic number.

809525471680 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 809525471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999740183904).

809525471680 is an abundant number, since it is smaller than the sum of its proper divisors (1189954896128).

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

809525471680 is a wasteful number, since it uses less digits than its factorization.

809525471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 809525471680 in words is "eight hundred nine billion, five hundred twenty-five million, four hundred seventy-one thousand, six hundred eighty".