809140700053504 has 496 divisors, whose sum is σ = 2044404431944000. Its totient is φ = 320099617603584.

The previous prime is 809140700053339. The next prime is 809140700053541. The reversal of 809140700053504 is 405350007041908.

The cubic root of 809140700053504 is 93184.

It is a perfect power (a cube), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62241592311802 + ... + 62241592311814.

Almost surely, 2^{809140700053504} is an apocalyptic number.

809140700053504 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809140700053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022202215972000).

809140700053504 is an abundant number, since it is smaller than the sum of its proper divisors (1235263731890496).

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

809140700053504 is an frugal number, since it uses more digits than its factorization.

809140700053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 809140700053504 in words is "eight hundred nine trillion, one hundred forty billion, seven hundred million, fifty-three thousand, five hundred four".